College of Sciences & Technology

• Ph.D. in Mathematics from the University of California at Los Angeles in 1967.
• M.A. in Mathematics from the University of California at Los Angeles in 1963.
  
• B.A. in Mathematics from the University of California at Los Angeles in 1962.
• Attended Sorbonne, University of Paris, France 1955 through 1959. 
  

​

Lecture, Department of Computer and Mathematical Sciences, University of Houston Downtown, Houston, Texas, 2010 through present.

Professor of Computer and Applied Mathematical Sciences, University of Houston Downtown, Houston, Texas, 1987 through Lecturer.

Professor and Chairman of Computer and Information Science, Indiana University, Purdue University at Indianapolis, IN, 1987.

Professor and Acting Chairman of Computer and Information Science, Indiana University, Purdue University at Indianapolis, IN, 1986 through 1987.

Professor of Computer and Information Science, Indiana University, Purdue University at Indianapolis, IN, 1983 through 1986.

Professor of Mathematics and Computer Science, Indiana State University, Terre Haute, IN, 1982 through 1983.

Professor of Mathematics and Computer Science Visiting, Indiana University, Purdue University at Indianapolis, 1981 through 1982.

Professor of Mathematics and Computer Science, Indiana State University, Terre Haute, IN, 1975 through 1981.

Associate Professor of Mathematics, Indiana State University, Terre Haute, IN, 1971 through 1975.

Assistant Professor of Mathematics, Indiana State University, Terre Haute, IN, 1969 through 1971.

Assistant Professor of mathematics Visiting, Carnegie Mellon University, 1968 through 1969.

Assistant Professor of Mathematics, Carnegie Mellon University, Pittsburgh, PA, 1967 through 1968.

Consultant Mathematician, I.B.M. Corporation, Los Angeles Scientific Center, CA, 1964 through 1967.

Mathematician and Programmer, I.B.M. Corporation, San Jose, 1963 through 1964.

Teaching Assistant of Algebra and Calculus, University of California, Los Angeles, September 1961 through 1963.

Publications

1. Approximation theorems on some Classes of Automatapublished in Siam J. of Control 6 (1968), (3):422 436.
2. Expectations on von Neumann Algebras published in Bulletin of the A.M.S. 74 (1968), (5):192 194.
3. Normal Expectations on von Neumann Algebras published inPacific J. of Mathematics 27 (1968), (2):333 338.
4. Representation Theorems for Linear Operators Proc. of the Conf. on Functional Anal. and its Appl. Held in Kanpur, India, December 12 21 (1969):1 11. Co authors R. A. Alo` and R. J. Easton.
5. Stable Maps and Schwartz Maps published in Trans. of the A. M. S. 148 (1970):283 291.
6. Measures on Semi Groups and some Representations published in J. of Math. Anal. and Appl. 31 (1970), (1):140 146. Co author R. J. Easton.
7. Real Compactness and a Representation Theorem for Separating Algebras of Functions published in J. of Math. Anal. and Appl. 31 (1970), (2):431 433. Co author R. A. Alo`.
8. Complete Sets of Expectations on von Neumann Algebraspublished in The Quart. J. of Mathematics (Oxford) 22 (1971), (85):135 142.
9. Some Representation Theorems published in Rocky Mountain J. of Mathematics 1 (1971), (3):561 573. Co author R. J. Easton.
10. Functions of Bounded Variations on Idempotent Semi Groupspublished in Math. Annalen 194 (1971):1 Co author R. A. Alo`.
11. A new theoretical model for depicting profit Optimalitypublished in Journal of Financial and Quantitative Analysis6 (1971), (4):1117 1121. Co author E. A. Spitz.
12. Expectations on B* Algebras published in J. für die Reine und Angew Math. 251 (1971):1 6. Co author R. J. Easton.
13. A one sided Fubini Theorem published in J. of Math. Anal. and Appl. 38 (1972), (2):387 398. Co author R. A. Alo`.
14. Vector valued absolutely continuous functions on Idempotent Semi Groups published in Trans. of A. M. S 172 (1972):491 500. Co authors R. A. Alo` and R. J. Easton.
15. The Vitali Hahn Saks theorem for operator valued linear mappings published in Riv. Mat. Univ. Parma (1972), (3):195 202. Co authors R. A. Alo` and C. Cheney.
16. An abstract Radon Nikodym theorem published in J. of Math. Anal. and Appl. 42 (1973), (1):110 118. Co authors R. A. Alo` and C. Cheney.
17. Some non weak integrals defined by linear functionalspublished in Quarterly J. of Math. (Oxford) (2) (1973):289 299. Co author L. Kunes.
18. Topological aspects of Q regular measures published in Studia Math. 48 (1973):49 60. Co authors R. A. Alo` and L. Kunes.
19. Topology induced by Banach Function Spaces presented at theProc. Inter. Conf. on Topo. Pittsburgh, Springer Verlag Lecture Notes Ser. 378:16 45.
20. The topological and the algebraic dual presented at the Proc. Inter. Conf. in Anal. Madras, Springer Verlag Lecture Notes Ser. 399:22 33.
21. Approximate integration published in J. of Math. Anal. and Appl. 48 (1974):127 138. Co author R. A. Alo`.
22. Martingales in Banach algebras published in J. für die reine und angew. Math. 273 (l975):49 56. Co authors R. A. Alo` and C. Cheney.
23. Topologies associated with operators on normed vector spacespublished in Symposia Mathematica 16 (1975):209 243. Co author R. A. Alo`.
24. A representation theorem for AC(R)*" published in Portug. Math. 34 (1975):163 171. Co author R. J. Easton.
25. Representation of Hammerstein operators by Nemytskii measurespublished in J. of Math. Anal. and Appl 52(1975):490 513. Co authors R. A. Alo` and Vo Van Tho.
26. Non linear operators on sets of measures published in Annali di Mat. Pura Appl. 109 (1976):1 22. Co authors R. A. Alo` and C. Cheney.
27. Exaves for C(X), L(X) and injectivity published in Symposia Mathematica 17 (1976):125 168. Co author R. A. Alo`.
28. Averaging operators on normed Kothe Spaces published inAnnali di Mat. Pura Appl. 112 (1977) : 33 48. Co authors R. A. Alo` and C. Roberts.
29. The representation of linear operators on spaces of finitely additive set functions published in Proc. of the Edinburgh Math. Soc. 20 (1977) : 233 242. Co author C. Cheney.
30. Integration theory for Hammerstein operators published in J. of Math. Anal. and Appl. 61 (1977) : 72 96. Co authors R. A. Alo` and Vo Van Tho.
31. The Riesz representation theorem for measures published inRiv. Mat. Univ. Parma 4 (3) (1977) : 301 308.
32. A Hellinger Hahn decomposition theorem publishe in Riv. Mat. Univ. Parma 4 (3) (1977) : 309 315. Co authors R. A. Alo` and Vo Van Tho.
33. A non linear, sequential data processing algorithm for recursively estimating trajectories and ballistic coefficients delivered atProc. NSF Regional Conf. in Numer. Anal. Jackson, Ms.October 1977 : 1 14. Co authors R. A. Alo` and C. Roberts.
34. Non linear integration on L spaces published in J. of Math. Anal. and Appl. 63 (1978) : 563 590. Co author R. A. Alo`.
35. Application of bases to the study of measures and operators on measure spaces published in Anal. di Mat. Pura ed Appl. 118 (1978) : 67 77. Co author R. A. Alo`.
36. Some approximation theorems for vector measures published inRev. Roum. de Math. Pures et Appl. 23(9), (1978) : 1289 1295. Co author R. A. Alo`.
37. A non linear integral and a Bang Bang theorem delivered atInternat'l Conf. on Non Linear Analysis and its Applications. Arlington, Va. April 1978 : 25 46. Co authors R. A. Alo` and T. Alvager.
38. The optional sampling theorem for convex set valued Martingales published in J. für die reine und angew. Math.310 (1979) : 1. Co authors R. A. Alo` and C. Roberts.
39. p Integrable selectors of multimeasures" Intern. J. of Math. and Math. Sci. 2(2), (1979):209 221. Co author C. Roberts.
40. Interchange of vector valued integrals when the measures are Bochner or Pettis indefinite integrals published in Bull. of the Austral. Math. Soc. 20 (1979):199 206. Co author C. Roberts.
41. Non linear integration on measures published in J. of Non Linear Analysis 4 (1980):1 14. Co author R. A. Alo`.
42. Maps whose values are closed convex subsets of a Banach spacepublished in J. of Math. Anal. and Appl 76 (1980) (1):1 9. Co authors R. A. Alo` and L. Kunes.
43. On some properties of continuous multimeasures published in J. Math. Anal. and Appl. 75 (1980):402 410. Co author C. Roberts.
44. Double adjoints of Hammerstein functionals defined on continuous functions published in Anal. di Mat. Pura ed Appl.126 (1980):93 102. Co author C. Roberts.
45. Some stability theorems for autonomous systems of differential equations in critical cases published in Math. Utilitas 17 (1980):111 126. Co authors R. A. Alo` and C. Roberts.
46. Convergence theorems for some scalar valued integrals when the measure is Nemytskii published in The Pacific J. of Math. 92 (1981):329 343. Co author C. Roberts.
47. Measures representing valuation maps on functions of bounded variation over idempotent semi groups published in J. of Math. Anal. and Appl. 83 (1981):224 237. Co author C. Roberts.
48. New York Metropolitan retail buying offices a statistical updatepresented at Chicago Conf. Proc. Midwest Marketing Assoc.83 (1981):19 25.
49. A Bang Bang type theorem for measures bublished in Proc. Conf. on non linear phenomenon in Math. Sciences 1982. Acad. Press pp. 25 30. Co authors R. A. Alo` and G. Graham.
50. Functions of finite p variation over idempotent semi groups and Lebesgue spaces published in Oxford Quarterly J. 83 (1981):19 25.
51. Explicit Runge Kutta methods for the Newton Cotes typepublished in Utilitas Mathematica 23 (1983):269 279. Co author C. Roberts.
52. Non linear operators on Lebesgue spaces published in Karachi J. of Math. 2 (1984). Co author R. A. Alo`.
53. Switching mechanisms in a generalized information systempublished in Cybernetics and Systems 15 (1984):145 167. Co author R. Kleyle.
54. Goal uncertainty in a generalized information system: convergence properties of the estimated expected utilitiespublished in J. of Stochastic Analysis and Appl. 2 (1984):437‑‑457. Co‑ author R. Kleyle.
55. Decision making mechanisms and stopping times in a generalized information system publishe in J. of Math. Modeling 6 (1985):259‑‑271. Co‑authors R. A. Alo` and R. Kleyle.
56. Some dynamical properties of sequentially acquired informationpublished in J. of Math. Modeling 6 (1985): 339‑‑351. Co‑authors R. A. Alo` and R. Kleyle.
57. A convergence theorem for convex set valued supermartingalespublished in J. of Stochastic Analysis and Appl. 3 (1985):433‑‑445. Co‑author R. Kleyle.
58. A two phase approach to making decisions involving goal uncertainty published in J. of Information Science 11 (1986):161‑‑171. Co‑author R. Kleyle.
59. Emergence of a dominant course of action in a general feed‑back loop when goal uncertainty is present published in J. of the Amer. Soc. for Info. Sc. 38 (2)(1987):111‑‑117. Co‑author R. A. Alo` and R. Kleyle.
60. External documentation and its quantitative relationship to the internal information state of a decision maker: the information profile published in J. of the Amer. Soc. for Info. Sc. 38 (1987):40 ‑‑419. Co‑authors M. C. Yovits, R. Kleyle and M. Mascarenhas.
61. A *‑mixing convergence theorem for convex set valued processespublished in Inter. J. of Math. and Math. Sciences 10 (1) (1987):9‑‑16. o‑author R. Kleyle.
62. Information and its relationship to decision making: the information profile and other quantitative measures: a brief summary published in Proc. of the Foundations of Information and Software Science III Jens Rasmussen and Pranas Zunde eds. (1987): 231‑‑241 Plenum Pub. Corp.
63. The relationship between information and decision making and the effect on the reliability and failure of information systemspublished in In Information and Catastrophy: the Proc. of a NATO ARW on Information System Failure A. Debons and J. Wise eds. (1987):37‑‑46. Co‑authors M. C. Yovits, R. Kleyle, L. Medsker and M. Mascarenhas.
64. Martingale properties of an information‑feedback looppublished in J. of Math. Modeling 9 (1988):1‑‑12. Co‑author R. Kleyle.
65. A generalized approach to information flow and analysis relating information to decision making published in In Advances in Computer Science, G. E. Lasker, editor, International Institute for Advanced Studies in Systems Research and Cybernetics, Windsor, Canada (1988):246‑‑263. Co‑authors M. C. Yovits, R. Kleyle, and L. Medsker.
66. Goal uncertainty and the supermartingale property in an information feed‑back loop published in Stochastic Analysis and Appl. 7(3) (1989):291‑‑307. Co‑author R. Kleyle.
67. A unified model for data acquisition and decision makingpublished in J. of Information Science 15 (1989):149‑‑161. Co‑author R. Kleyle.
68. An evidential approach to problem solving when a large number of knowledge systems are available published in International J. of Intelligent Systems, 5 (1990):293‑‑306. Co‑authors R. Kleyle and R. Lea.
69. Uncertainty in expert systems: sets of expert decision makers and the Dempster‑Shafer approach published in J. of Stochastic Analysis and Applications, 8(3) (1990):315‑‑327. Co‑author R. Kleyle and R. Lea.
70. A belief function approach to information utilization in decision making published in J. of the Amer. Soc for Info. Sciences41(8)(1990):569‑‑580. Co‑author R. Kleyle.
71. On the use of Neural Network Systems published in Forum on Artificial Intelligence in Acquisition Management Proceedings (1990): 844‑‑873. Co‑author B. Humpert.
72. Properties of States of Recognition Arising from a Set of Knowledge Systems with Imperfect Reporting published in J. of Stochastic Analysis and Applications 9(2) (1991):133‑‑146. Co‑authors R. Kleyle and M. Murphy.
73. Methods For Efficient Object Detection Under Conditions Of Uncertainty and with Implications For Path Plannin delivered at North American Fuzzy Information Processing Society Proceedings (1991):42‑‑46 University of Missouri‑ Columbia Co‑authors M. Murphy and R. Kleyle.
74. A Decision Making Model For Multi‑attribute Problems Incorporating Uncertainty And Bias Measures published in J. of Computers and Operations Research, 18(4) (1991) 335‑‑342. Co‑authors M. Shipley and R. Obid.
75. Optimization and Expert Systems with Neural Networksdelivered at The CP90 Europhysics Conference on Computational Physics (1991) 86‑‑104. Co‑author B. Humpert.
76. Designing and Implementing Blackboard Architecturepublished in J. of Expert Systems for Information Management 3 (1991) 165‑‑193. Co‑author B. Humpert.
77. A Dempster‑Shafer Based Approach To Technology Assessment Applied To Selection Of Software Packages delivered atproceedings of the Portland Intern. Conf. on Management of Engineering and Technology. Portland, (Oct. 1991) 566‑‑569. Co‑author M. Shipley.
78. On selecting a set of simultaneous courses of action when imprecision is involved published in J. of Math. and Comp. Modeling 16(11) (1992) 157‑162. Co‑author R. Kleyle.
79. Using Multiple Sources of Information to Recognize and Classify Objects published in J. of Stochastic Analysis and Applications 10 (5) (1992) 573‑589. Co‑authors V. Espino and R. Kleyle.
80. Uncertainty in Expert Systems: The Mathematical Theory of Evidence In EXPERSYS‑92 published in I.I.T.T. International Technology Transfer Series ed. Niku‑Lari (1992) 111‑115.
81. Determining Rules for Closing Customer Service Centers: A Public Utility Company's Fuzzy Decision published in North Amer. Fuzzy Information Processing Society Proc. (1992): 398‑407 Puerto Vallarta, Mexico. Co‑authors M. Shipley and R. Lea.
82. Using Knowledge Systems to Solve the Object Recognition Problem when Features Fail to Be Homogenous published in J. of Approximate Reasoning Vol. 8 N. 2 (1993) 141‑162. Co‑authors R. Kleyle and R. Lea.
83. A Dempster‑Shafer Based Approach To Compromise Decision Making With Multiattributes Applied To Product Selectionpublished in J. of IEEE Transactions on Engineering Management 40(1) (1993) 60‑67. Co‑author M. Shipley.
84. Certain and Possible Rules for Decision Making Using Rough Sets Theory Extended To Fuzzy Sets delivered at Proceedings of the Third International Workshop on Neural Networks and Fuzzy Logic (1993) 54‑68. C ‑author M. Shipley.
85. Detection of Irregularities by Auditors: A Rough Set Approachpublished in The Indian J. of Accounting (24) (1993) 44‑54. Co‑authors P. Siegel and K. Omer.
86. Legal Decision Making Under Uncertainty In EXPERSYS‑93. published in I.I.T.T. International Technology Transfer Series. Ed. Niku‑lari (1993) 59‑67. Co‑authors G. Quirchmayr and S. Hashemi.
87. A Stochastic Model For Constructing An Access Policy For Multiple Knowledge Systems published in The J. of Stochastic Analysis and Applications 12(2) (1994) 225‑247. Co‑author R. Kleyle.
88. Extracting Fuzzy Rules Under Uncertainty and Measuring Definibility Using Rough Sets published in The J. of Intelligent & Fuzzy Systems Vol. 2 (1994) 75‑87 Co‑authors B. Bourgeois and R. Kleyle
89. Object Identification When Imprecise Information Is Available From Multiple Sources Of Unequal Reliability published inThe J. of Intelligent & Fuzzy Systems Vol. 2(1994) 191‑199. Co‑author R. Kleyle.
90. Identifying Precedents Under Uncertainty delivered atProc. of the 5th Intl.. Conf. on Databases and Expert Systems. Lecture Notes in Computer Science No. 856, Springer_Verlag (1994) 320‑328. Co‑ authors G. Quirchmayr and S. Hashemi.
91. Introduction To The Theory Of Weighted Apertures published in J. of Neural, Parallel, and Scientific Comp. Vol. 2 (1994) 407‑420. Co‑authors S. Aityan and R. Alo`.
92. Dealing With Uncertainty In Insurance Contracts delivered atEXPERSYS‑94 Technology Transfer Series, IITT International, (1994) 397‑403. Co‑authors G. Quirchmayr and S. Hashemi
93. An Application of Control Systems to Cost Variance Analysispublished in J. of Managerial Finance, Vol. 21, No. 3 (1995) 17‑35. Co‑authors P. Siegel and J. Strawser.
94. Two Methods For Object Identification With Imprecise Information Applied to Image Analysis presented atIASTED/ISMM The International. Conf. Of Intelligent Information Management Systems (June 1995) 115-118 Washington D.C. Co‑ authors R. Kleyle, B. Bourgeois, and G. Quirchmayr.
95. Uncertainty Methods In Accounting: A Methodological overviewpublished inApplications of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press (1995) 3-18.
96. Modeling Job Scheduling For Audit Uncertainties Using Fuzzy Logic published inApplications of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press (1995) 39-54. Co-authors A. Chandra, S. Hashemi and M. Muchnik.
97. An Application of Fuzzy Sets to Cost Allocation published inApplications of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press (1995) 55-71. Co-authors P. Siegel and S. Agrawal.
98. Dealing With Ambiguity In The Tax Law : An Application of Rough Set Theory To The Determination Of Debt Worthlessnesspublished inApplications Of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press (1995) 105-119. Co-authors G. Carnes and J. Hagan.
99. Ambiguity And Vagueness In Determining Reasonable Compensation For Closely Held Corporations : The Use Of Rough Set Theory And Fuzzy Set Theory To Develop Decision Rules published inApplications Of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press (1995) 121-134. Co-authors J. Hagan and P. Siegel.
100. Determining The Extent Of Budgetary Slack : A Fuzzy Approach published in Applications Of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press (1995) 237-252. Co-authors K. Omer and J. Leavins.
101. New Project Development : A Decision Model Based On Dempster Shafer Theory published in Applications Of Fuzzy Sets And The Theory Of Evidence To Accounting. JAI Press(1995) 253-267. Co-authors K. Omer and M. Shipley.
102. Rough Set Theory Fuzzy Belief Functions Related to Statistical Confidence: Application and Evaluation for Golf Course Closing published in J. of Stochastic Analysis And Applications 13(4) (1995) 487-502. Co‑ author M. Shipley.
103. Capital Budgeting : A Fuzzy Set Approach For Determining Expected Value of Cash Flows published in The Asian Review of Accounting Vol 3 (1) (1995) 105-125. Co‑authors K. Omer and P. Siegel
104. On Fuzzy Difference Equation published in J. of IEEE Transactions on Fuzzy Systems (Nov. 1995) 469-473. Co‑author E. Deeba.
105. A Fuzzy Model of Managerial Decision Making Incorporating Risk and Ambiguity Aversion delivered at Lecture Notes In Computer Science, Proceedings of the 6th Intl. Conf. On Databases and Expert Systems. Springer Verla (London, Sept. 1995) 124-135. Co-authors G. Quirchmayr and S. Hashemi.
106. An Approach to Object Identification Using Fuzzy Expected Payoffs published in J. of Intelligent & Fuzzy Systems Vol 3(1995) 305-316. Co‑author R. Kleyle.
107. Managing Uncertainty In Contract Law delivered atExpersys-95, Expert Systems Applications & Artificial Intelligence(1995) 191-196. Co-authors G. Quirchmayr and S. Hashemi.
108. Logical Optimization When Uncertainty Is Present delivered atDatabase and Expert Systems Appl. The 6th International conf. Workshop DEXA 1995 (London, 1995) 87-96. Co-author M. Beheshti.
109. Applying Fuzzy Logic To An Object Oriented Query Optimization Algorithm delivered at Expersys-95, Expert Systems Application & Artificial Intelligence (1995) 313-318.Co-author M. Beheshti.
110. Pexider Functional Equations ‑ published in Their Fuzzy Analogs published in The Intl. J. of Mathematics and Mathematical Sciences .Vol 19(3) (1996) 529-538.Co‑authors E. Deeba and S. Xie.
111. A Fuzzy Logic Approach For Determining Expected Values, A Project ManagementApplication published in The J. of The Operational Research Society. 47(1996) 562-569.Co-authors K. Omer and M. Shipley.
112. Selecting Optimal Hedging Tools delivered at The 3rd World Congress On Expert Systems Conf.(1996) 139-146.Co-authors O. Duangploy, S. Hashemi, G. Quirchmayr.
113. Develop Decision Rules To Aid Tax Professiomals In Ambiguous Planning Situations published in J. of Managerial Finance, Human Information Processing In Business Decision Making Vol. 22 11(1996) 1-17. Co-authors J. Hagan and P. Siegel.
114. Decision Making On The Basis Of Expected Cost Variance; A Fuzzy Set Approach published in J. of Managerial Finance, Human Information Processing In Business Decision Making Vol.22 11(1996) 18-29. Co-authors R. Kleyle and T. McLaughlin.
115. Promotion Decisions: A Rough Set Approach published in J. of Managerial Finance, Human Information Processing In Business Decision Making Vol. 22 11(1996) 43-53. Co-authors T. Scandura and P. Munter.
116. Policy Selection Based On A Markov Model With Fuzzy Transition Probabilities published in J. Of Intelligent & Fuzzy Systems, Vol. 4 (1996) 121-130. Co-author R. Kleyle.
117. An Adaptive Environment Modeling Under Uncertaintypresented in Proc. Of The Sixth Conf. On Computer Generated Forces And Behavioral Representation. July (1996) 573-581. Co-authors R. Alo, M. Beheshti, C. Hu and O. Sirisaengtaksin.
118. On A Fuzzy Logistic Differential Equation published in the J. Of Differential Equations and Dynamical Systems. Vol. 4, 2(1996) 149-156. Co-author E. Deeba.
119. A Fuzzy Difference Equation With An Application published in The J. of Difference Equation and Applications. Vol 2 (1996) 365-374. Co‑authors E. Deeba and E. L. Koh.
120. Workstation Scheduling For Flexible Assembly Lines Using Fuzzy Logic presented at Proc. Of The First Annual Conf. In Industrial Engineering Dec. (1996) 95-100. Co-authors S. Hashemi and F. Attia.
121. A Formal Model For Computing Argumentation StrategiesEXPERSYS-96. published in Expert Systems Applications. Artificial Intelligence. (1996) 47-53.;Co-authors G. Quirmayr, S.Hashemi and R. Robbins.
122. TERRAS: The Travel Reinbursement Advisory Expert SystemEXPERSYS-96.Expert Systems Applications. Artificial Intelligence. (1996) 541-545.Co-authors S.Hashemi , R. Robbins and M.Paravic.
123. Object Identification With Imprecise Information From Sources Of Unequal Importance With An Application To Image Analysis The International J. of Microcomputer Applications.Vol l5 (1996) 133-137.Co-authors R. Kleyle and G. Quirchmayr.
124. A Fuzzy Controller for Adjusting Sample Size to Meet Quality Goals presented at Productivity And Quality Management Frontiers 6. Engineering and Management Press, Institute Of Industrial Engineers, Norcross , GA, 1997, 501-513.Co-authors M. Shipley and K. Omer.
125. An Extension of Ramsey-Boiteaux Pricing to Services Offering Limited DeferabilitySubject to Reliability Constraints and Fuzzy Demand Functions. published in The J. Of ManagerialFinance Vol 23 (1997) 1-15Co-authors J. Boronico and R. Kleyle.
126. Investing In New Companies In An Unstable Economic Environment: A Fuzzy SetApproach published in The J. Of Managerial Finance Vol 23 (1997) 68-80Co-author R. Kleyle and K. Karim.
127. Fuzzy Petri Nets For Decision Making In Uncertain and Variable Environment published in J. of Neural Parallel and Scientific Computations 5 (1997) 309-324.Co-authors M. Beheshti ,A. Berrashed, C. Hu, and O. Sirisaengtaksin.
128. Transition Probabilities For Markov Chains Having Fuzzy States J. of Stochastic Analysis and Appl. Vol 15 (4) (1997) 527-546.Co-author R. Kleyle.
129. Neural Network With Imprecise And Conflicting Datapublished in Advances in IndustrialEngineering Applications and Practice Vol.2 (1997) San Diego. 1085-1090.Co-authors O. Sirisaengtaksin and G. Kutiev.
130. The Use Of The Theory Of Evidence To Tune Fuzzy Rulespublished in Advances in IndustrialEngineering Applications and Practice Vol.1 (1997) San Diego. 57-62.Co-authors S. Hashemi and L. Chaouat.
131. Bifpet Versus Pert; Fuzzy Probability Instead Of The Beta Distribution published in J. Of Engineering And Technology Management. Vol. 14 (1997) 49-65.Co-authors M. Shipley and K. Omer.
132. Reducing The Uncertainty In New Product Development: A Fuzzy Set Approach published in Academy of Marketing Studies Proceedings Vol. 2 (2) (1997) Maui' Hawaii. 20-27.Co-authors R. Kleyle , D. Deeter-Schmeltz and P. Siegel.
133. Expected Transition Cost Based On A Markov Model Having Fuzzy States With An Application To Policy Selectionpublished in J. Of Stochastic Analysis And Appl. Vol. 16 (1) (1998) 51-64.Co-author R. Kleyle134.
134. Using The Extension Theorem To Define Fuzzy Expectationspublished in J. of Stochastic Analysis and Appl. Vol. 16(2)(1998) 303-310.Co-author R. Kleyle.
135. On Interval Weighted Three Layer Neural Networks presented at The 31 st. Annual Simulation Symposium Boston, Massachusets April 5-9 (1998) 188-194.Co-authors M. Beheshti, A. Becharred, C. Hu, O. Sirisaengtaksin.
136. Computer Security Model Based On Uncertain/Partial Information presented atInformation Processing and Management of Uncertainty in Knowledge Based Systems. Paris, La Sorbonne (1998)1840-1845.Co-authors M. Beheshti, A. Becharred and O. Sirisaengtaksin.
137. Constructing One Step And Limiting Fuzzy Transition Probabilities For Finite MarkovChains published in The J. Of Intelligent & Fuzzy Systems Vol. 6 (1998) 223-236.Co-author R. Kleyle.
138. Knowledge Acquisition Using Rough Sets When Membership Values Are Fuzzy Sets. published in The J. Of Intelligent & Fuzzy Systems Vol. 6 (1998) 237-244.Co‑author R. Kleyle and McKeegan.
139. Utilizing Fuzzy Logic In Decision Making. published in Appl. Of Fuzzy Sets And The Theory Of Evidence To Accounting II (1998) 3-14. JAI Press.Co-author K. Omer.
140. Knowledge Acquisition And The Development Of Decision Rules : Studying And Evaluating Internal Control Stucturepublished in Appl. Of Fuzzy Sets And The Theory Of EvidenceTo Accounting II (1998) 71-86. JAI Press Co-authors P. Siegel, J. Strawser.
141. Project Cost Control : A Fuzzy Logic Approach To Crashing Project Activity published in Appl. Of Fuzzy Sets And The Theory Of Evidence To Accounting II (1998) 87-98. JAI Press. Co-authors K. Omer, M. Shipley.
142. Rule Extraction Using Rough Sets When Membership Values Are Intervals delivered at Lecture Notes In Computer Science. DEXA 98 9th. Intern. Conf. Vienna, Austria(August 1998) 841-850. Ed. Springer Verlag
143. Approaches To Multicast Allocation In HLA Data Distributiondelivered at Spring 98 SimulationInteroperability Workshop( March 1998) 1063-1068.Co-authors A. Berrached, M. Beheshti, O. Sirisaengtaksin.
144. Spinal Cord Simulation For Chronic Pain Management : Toward An Expert System published in Appl. Of Advanced Info. Technology, A World Congress On Expert Systems ( March 1998) 156-164. Mexico City.Co-authors K. Alo, R. Alo, V. Kreinovitch
145. A Note on Fuzzy Conditional Expectation published in the J. Of Stochastic Analysis And Applications. Vol 16. N.6, (1998) 1005-1017.Co-author R. Kleyle
146. Comparing Values Arising From Imprecise Informationdelivered at Proc. Of 1998 Conf. On Simulation Methods And Appl. The Society For Computer Simulation. Orlando,Florida ( Nov. 1998) 188-196.
147. Optimizing Concurrency Control In OODBS Using Fuzzy Setsfrlivered at EXPERSYS-98 Expert Systems. Artificial Intelligence. (1998). 189-195.Co-authors M. Beheshti, A. Berrached and O. Sirisaengtaksin
148. Autonomous Control Vehicles Using Fuzzy-Neural Networksdelivered at EXPERSYS-98.Expert Systems. Artificial Intelligence. (1998). 25-30.
149. Extending Jain's Maximization Principle To Fuzzy Sets With Continuous Support delivered at IBERAMIA'98. Progress in Artificial Intelligence, Proceedings of the 6thIberoamericanConference ( 1998 ) 93-106.Co-authors R. Alo and R. Kleyle.
150. Analysis by Fuzzy Difference Equations of a Model of CO2Level in the Blood published in Applied Mathematics Letters(12) (1999) 33-40.Co-author E. Deeba.
151. Concurrency Control When Uncertainty Is Present delivered at4th Annual International Comp.Conference, Sharif University of Tech. Teheran, Iran (1999) 34-44.Co-authors M. Beheshti , A. Berrached, and O. Sirisaengtaksin.
152. Considering The Cost Of Quality When Adjusting Sample Size To Meet Quality Goals published in Productivity and Quality Management Frontiers 8 MCB Press (1999) 739-754. (nominated for best paper award)Co-author M. Shipley.
153. Determining The Larger Of Two Continuous Fuzzy Sets With Unbounded Support By The Cut- Off Method published in 2ndInternational Conf. On Non Linear Problems In Aviation And Aerospace. Ed. Sivasundaram European Conf. Publications, Cambridge (1999) Vol.1 , 181-188.Co-author R. Kleyle.
154. A Hierarchical Grid Based Approach To Data Distribution In The High Level Distribution published in nd International Conf. On Non Linear Problems In Aviation And Aerospace. Ed. SivasundaramEuropean Conf. Publications, Cambridge (1999) Vol.1, 103110.Co-authors M. Beheshti, A. Berrached and O. Sirisaengtaksin.
155. Validation Of Authentic Reasoning Expert Systems published inJ. Of Information Sciences 117 (1999)19-46.Co-authors Laurie Webster, Jen Gwo Chen.
156. Techniques And Applications Of Fuzzy Set Theory To Difference And Functional Equations And Their Utilization In Modeling Diverse Systems published in Fuzzy Theory Systems, Techniques AndApplications. Vol1, Academic Press (1999) 87-110.Co-authors E. Deeba, S. Xie.
157. Project Management Using Fuzzy Logic And The Dempster Shafer Theory Of Evidence To Select Team Members For The Project Duration delivered at 18th International Conf. Of The North Amer. Fuzzy Information Processing Soc. ( June 1999) 640-644.Co-author M. Shipley.
158. Fuzzy Analytical Hierarchical Processes published in J. Of Intelligent And Fuzzy Systems 7 (1999)387-400.Co-author R. Kleyle.
159. A Theoretical Model For Assessing Expected Loss In Determining Cost-Benefit Effectiveness Of Internal Controlspublished in Mc. Graw-Hill Co. Emerging Role of IT in the Global Resources Environment. (January 2000) 212-215. Co-authors M. Shipley and K. Omar
160. Assignment Of Tasks To Competing Nodes When Task Duration Times Are Fuzzy published in J. Of Intelligent And Fuzzy Systems 8 (2000) Co-authors R. Kleyle and S. Hashemi
161. Decision Rules For Achieving Target Values Based On Quality Function Deployment Customer And Technical Inpu published in Productivity and Quality Management Frontiers MCB University Press (2000) 21-26. Co-author M. Shipley
162. Genetic Algebras- Their Fuzzy Analog published in J. Of Fuzzy Mathematics Vol. 8 (2) (2000) 401-409. Co-author E. Deeba
163. Using Fuzzy Relation Equations For Adaptive Access Control In Distributed Systems delivered atSSGRR International Conf. In Advances In Infrastructure For e-Business And Education On The Internet. L'Aquila, Rome, Italy. (July31-August 06 ) (2000) on CD paper no. 150, 6 pages. Co-authors M. Beheshti, A. Berached and R. Alo
164. An Access Control Model Based On Fuzzy Set Theory delivered at the 8th International Conf. IPMUInformation Processing and Management Of Uncertainty In Knowledge Based Systems. Madrid, Spain. (July 3-7) (2000) 890-895. Co-authors M. Beheshti, A. Berached and R. Alo.
165. On Firing Rules Of Fuzzy Sets Of TypeII published in The International J. Of Applied Mathematics Vol.3(2) (2000) 151-159. Co-authors C. Hu and O. Sirisaengtaksin
166. Assigning Tasks To Resource Pools: A Fuzzy Set Approachdelivered at DEXA 2000. The 11th International Conf.London, England. Springer Verlag Lecture Notes In Computer Science Series (2000) 102-114.Co-authors S. Hashemi, G. Quirchmayr and R. Kleyle
167. Evaluating Policies Based On Their Long Term Average Costpublished in J. Of Stochastic AnalysisAnd Applications Vol.18 (6) (2000) 901-919.Co-authors S. Hashemi and G. Quirchmayr
168. Using Fuzzy Places and Hypertokens to Reduce the Number of States in a Stochastic Petri Net published in J. Of Intelligent And Fuzzy Systems Vol.9 (2000) 43-51.Co-author R. Kleyle
169. Finding the Dominant Rule when the Antecedants and the Consequents are Fuzzy Sets of Type II and the Inputs are Crisp or Fuzzy published in Non Linear Problems in Aviation and Aerospace (2000) 219-225. Co-authors: E. Deeba, S. Hashemi and C. Hu.
170. Validation of Authentic Reasoning Expert Systems published inRutgers Series in Accounting Information Systems. (2001) 227-251. (The contents are identical to [155.] .)Co-authors Laurie Webster, Jen Gwo Chen.
171. Design of an Unmanned Vehicle Controller delivered at Conf. Proceedings ICON IT' 2001. Bangkok,Thailand (May 2001) 22-30Co-authors: M. Beheshti, A. Berrached and R. Alo.
172. A Fuzzy Set Approach to Resource Procurement for Multiphase Projects Subject to Flexible;Budgetary Constraint published inJ. Of Intelligent And Fuzzy Systems Vol. 9 (2001) 225-233.Co-author: R. Kleyle.
173. Sample Size: Achieving Quality and Reducing Financial Losspublished in Internt. J. of Quality and Reliability Management. Vol. 18 No. 6 and 7 (2001) 678-601.( Content of paper [152.] .)Co-author: M. Shipley.
174. Adjusting Sample Size and Frequency of Sampling to Meet Quality Goals delivered at Portland Internt. Conf.on Management of Engineering and Technology. (July 29-August 2) (2001) Portland, Oregon. CDRom,7 pages.Co-author: M. Shipley.
175. Utilizing Interval-Valued Evidence Sets to Select Products Based on Perceived Market;;Competitiveness and Cos delivered atProc. of the Internt. Conf. on Industrial Engineering and Production Management. Université Laval. (August 20-23) (2001) 11 pages. Co-authors: M. Shipley and R. Kleyle.
176. Determination of Membership Functions with Uncertaintypublished in World Multiconference on Systems, Cybernetic and Information. Vol. 9, Information Systems Technology. Internt. Institute of Infornation and Systematicspublished in (July 2001) 361-364. Co-authors: O. Sirigaengtaksin.
177. Applying Fuzzy Relation Equatios to Threat Analysis published in World Multiconference on Systems Cybernetic and Information. Vol. 9, Information Systems Technology. Internt. Institute of;Infornation and Systematics (July 2001) 356-360.Co-authors: A. Berrached and M. Beheshti.
178. A Fuzzy Logic Based Model to Satisfy Goals for Successful Product/Service Introduction published in European J. of Operational Research. Vol. 135, No 1, (November 2001) 209-219.Co-authors: M. Shipley and K. Omer.
179. A Fuzzy-Analytic-Hierarchical Process Model for the Metal Decision in the Automotive Industry delivered at The Internt. Body Engineering Conf. (Oct.2001), Detroit, Michigan (on CD).Co-authors: R. Kleyle and M. Bayou.
180. Association Analysis With Interval Valued Fuzzy Sets and Body Of Evidence delivered at Proceedings of the 2002 Intern. Conf. On Fuzzy Systems (2001) 518-523 ( Honolulu) Co-authors P. Chen and C. Hu181
181. A New Approach For Studying Fuzzy Functional Equationspublished in Intern. Journal of Mathematics and Mathematical Sciences (2001) 733-741 Co-author E, Deeba
182. A Decision Making Model For An Optimal Medicine Using Analytical Hierarchical Processes published in Journal of Intelligent and Fuzzy Systems (2001) 135-145 Co-author J. Yoon183.
183. Evaluating a Model of Forest Successions Using Fuzzy Analysispublished in Stochastic Analysis and Applications 19(5) (2001) 893-901. Co-author Jeong-Mi Yoon
184. Fuzzy Functions To Select An Optimal Action In Decision Theory delivered at 2002 Annual Meeting of the North American Fuzzy Information Processing Society (2002) 348-353. Co-authors F. Modave and R. Alo
185. Body of Evidence with Fuzzy Consequences published inProceedings of Neural,Parallel and Scientific Computations.(2002) 145-150. Co-author O. Sirisaengtaksin
186. Utilizing Fuzzy Compatibility of Skill Sets For Team Selection In Multi-Phase Projects published in Journal of Engineering and Technology Management Vol 19(2002) 307-319 Co-authors M. Shipley and R, Kleyle
187. Analyzing the Make or Buy Decision in the Automobile Industry Using the Fuzzy Analytic Hierarchical Processpublished in Intelligent Systems Technology and Applications Vol.5 (2003) p. 239-265. Co-authors R. Kleyle and M. Bayou
188. Evaluating a Forest Model Using the Fuzzy Rule Matrixpublished in The Far Eastern J. of Mathematical Sciences(2004) p. 239-251. Co-author Jeong-Mi Yoon
189. Fuzzy Quality Function Deployment: Determining the Distributions of Effort Dedicated To Technical Changepublished in Intern. Trans. Of Operational Research 11(2004) 293-307
190. Assessing Risks Due to Threats to Internal Control in a Computer Based Accounting Information Systems: A Pragmatic Approach Based on Fuzzy Set Theory published inInternational Journal of Intelligent Systems in Accounting, Finance and Management Vol.12 (2) (2004) 139-152Co-authors M. Shipley and K. Omar
191. Generating Rules From Data: Going from Simple to More Uncertain Specifications published in The Journal of Neural, Parallel and Scientific Computations Vol.12 (2004) 193-206 Co-author O. Sirisaengtaksin
192. Generating and Applying Rules For Interval Valued Observations published in Lecture Notes in Computer Science, Ed. Springer-Verlag, Vol. 3177 (2004) 279-284Co-authors C. Hu and P. Chen
193. Generating and Applying Rules for Web Documents Retrievalpublished in The Far East Journal of Applie Mathematics Vol.16 (3) (2004) 249-272Co-authors E. Deeba and P. Chen
194. A Body of Evidence Approach Under Partially Specified Environments published in The Journal of Neural, Parallel and Scientific Computations Vol. 13 (2005) 91-106Co-author O. Sirisaengtaksin and S. Hashemi
195. Sampling Rules To Achieve Quality, Maximize Benefits and Minimize Financial Loss published in Managerial Finance, Modelling of Multi-Criteria Decisions, Vol 31 ,3 (2005) 1-18 Co-author M. Shipley
196. A Genetic Algorithm Approach For Analyzing Network Intrusion Hyperalerts delivered at Fuzzy Logic, Soft Computing and Computational Intelligence 11th Internt. Fuzzy Systems Assoc. World Congress Vol. 3 (2005) 382-387 Co-authors P. Chen and C. Hu
197. Assessing Risk and Associated Cost of Risk in Product Development Setting: A Fuzzy Rule Based Model delivered atDecision Science Institute 8th Internt. Conf. Of the Decision Sciences (2005) 355-36
198. Paradigms for Decision-Making Under Increasing Levels of Uncertainty published in International Journal of Pure and Applied Mathematics Vol 21,3 (2005) 419-430 Co-authors F. Modave and R.Kleyle
199. Managing Risks to Knowledge Transference in Information Systems: A Fuzzy Rule Based Model delivered at 2005 IEEE International Engineering Management Conf. A Strategic View of Engineering and Technology Management, IEEE Engineering Management Society. Newfoundland, Canada 564-568.
200. Time Slice Allocation: A Fuzzy Set Approach delivered atProceedings of Neural, Parallel and Scientific Computations(3) 113-118; 2006 Co-author O. Sirisaengtaksin
201. Reinforcing Access Control Using Fuzzy Relation Equationsdelivered at The 2006 World Congress in Computer Science, Computer Engineering and Applied Computing.Co-author A. Berrached
202. Information Preloading Strategies for E-Government Sites Based on User's Stated Preferences published i J. of Enterprise Information Management Vol. 20(1) (2007) 119-131. Co-authors S. Hashemi and G. Quirchmayr
203. Resource Allocation Based On Imprecise Information published in Journal of Neural, Parallel and Scientific Computations Vol 15(1) (2007) 91-102.Co-authors P. Simeonov and O. Sirisaengtaksin
204. Using the Fuzzy Analytic Hierarchical Process to Select the Optimum Mechanism for Developing Accounting Standardspublished in Review of Accounting and Finance Vol 2(2007) 109-130.Co-authors M. Bayou and A. Reinstein.
205. A Gentle Introduction to Fuzzy Logic and its Applications to Intelligent Agents Design, published in Architectural Design of Multi- Agent Systems Publisher Premier Reference Source(2007) 61-93Co-Authors P. Simeonov and H. Lin
206. Using The Body of Evidence Approach for Optimal Drug Dosage, published in Journal of Fuzzy Mathematics, Vol 15, No. 4, ( 2007) 865-873.Co-Author Jeong-Mi Yoon
207. Information Retrieval Using Relevance Vectors: A Soft Computing Approach, published in Internt. Of Pure and Applied Mathematics. Vol. 44, 1 (2008) 51-62.Co-Authors Ping Chen and Jeong-Mi Yoon
208. Using Fuzzy Logic Based Evidence For Bulgarian Winery Market Competiveness published in North AmericanFuzzy Information Processing. May 2008 ( New-York) 6 pages.Co-authors M. Shipley and D. Olson
209. Knowledge Processing With Interval and Soft Computing.Publisher Springer, 2008.Contributing Editors A. de Korvin, C. Hu, B. Kearfott and V. Krienovich
210. Accounting for Fuzzy Lean Manufacturing Systems Accepted for Publication in the Journal of Engineering and Technology Management Co-author M. Bayou

Research Interest

My very first research efforts started in 1963 while I was working for the I.B.M. Scientific Center at Los Angeles. These efforts led to my first paper, in the field of Automata Theory, which was published in the SIAM Journal of Control in 1968 (see publ[1]). At the time, I was completing my Ph.D. thesis on von Neumann algebras. My first publications, naturally enough, were in that general area (see pub[2] and pub[3] for example). Later I was able to obtain related results for norm closed algebras, i.e. C* algebras (for example see pub[5] and pub[12]). Later still I developed an interest in integration theory and other areas of functional analysis.

From 1975 I became more interested in Probability (for example see pub[22] and pub[38]), Control Theory (for example see pub[49] and pub[37]), Non Linear Analysis (for example see pub[34] and pub[41]) and Numerical Analysis (for example see pub[45] and pub[51]).

In 1978 I became interested in Computer Science. This was brought about in a rather natural way as the Department of Mathematics at Indiana State had decided to go ahead with a B.S. program in Computer Science. In 1983 I held the rank of Professor in the Department of Computer and Information Science of Indiana University, Purdue University at Indianapolis.

My initial research interests include the construction of stochastic models for information flows, see pub[53] through pub[57]. In pub[55] we study a mechanism followed by a decision maker ethically bound to pursue the best available course of action. The model allows for feedback information to be input for each cycle of decision making. Equations describing the updated expected utilities in terms of the learning factor are obtained. The estimators obtained from a martingale or a submartingale allowing the analysis of when and how the decision maker can terminate the feedback decision-making loop. In pub[56] the study is generalized so that termination is analyzed although the estimators do not form a martingale or a submartingale. More recent articles pub[57] pub[64] ,for example,

My more recent research pub[70] is in the areas of the mathematical theory of evidence, uncertainty in expert systems, knowledge acquisition, fuzzy logic, neural nets, neuron-fuzzy systems and how to apply these theories to the problems of object recognition and expert systems construction, as well as to business problems. This work was funded by NASA for the Summers of 88, 89, 90, 91 and for the year 1992 as well as by NSF and the Army Research Office from 1995 to 1999. Fuzzy logic, the Dempster Shafer theory and Rough sets are important techniques used to investigate many problems in these areas.

Awards

University of Houston Downtown Excellence in Professional Service Award 1990.

University of Houston Downtown Excellence in Scholarship Award 1992.

University of Houston Downtown Teaching Award Finalist 1991, 1992.

Keynote Speaker at the International EXPERSYS 92 Conference.

Taught by invitation a short course in Mathematical Problems in Artificial Intelligence MAA Conference in Houston 1992.

University of Houston-Downtown Excellence in Scholarship Award 2009.

Elected to the Phi-Kappa-Phi Society 2000.

University of Houston-Downtown Excellence in Scholarship Award 1999.

University of Houston-Downtown Excellence in Scholarship Finalist 1998.

Member of the Computer Science Accreditation Commission.

Member Of The Editorial Board Of The J. Of Managerial Finance 1997 to present

Keynote Paper at the International EXPERSYS 93 Conference.

University of Houston Downtown Enron Excellence in Teaching Award 1993.