Generalized polynomial decomposable multiple attribute utility functions for ranking and rating multiple criteria discrete alternatives

Applied Mathematics and Computation

Volumn 106, Issue 1, 1999, Pages 69-102

  Malakooti, Behnam ^a   Subramanian, Sriram ^a  

^a Case Western Reserve University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003035293     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10113-3     Document Type: Article

References (33)

1. Bareau, E.J., 1989. Polynomials. Springer, New York.
2. Bazaraa, S.M., Shetty, C.M., 1979. Nonlinear Programming - Theory and Algorithms. Wiley, New York.
3. Chankong, V., Haimes, Y.Y., 1983. Multiobjective Decision Making: Theory and Methodology. North Holland, New York.
4. Dyer J.S., Fishburn P.C., Steuer R.E. Multiple criteria decision making, multiattribute utility theory - The next ten years. Management Science. 38(5):1992;645.
5. Farquhar P.H. A fractional hypercube decomposition theorem for multiattribute utility functions. Operations Research. 23:1975;941-967.
6. Farquhar, P.H., 1977. A Survey of Multiattribute Utility Theory and Applications. In: Starr, M.K., Zelenv, M. (Eds.), Multiple Criteria Decision Making. North Holland, New York.
7. Fishburn P.C. Utility as an additive set function. Mathematics of Operations Research. 17(4):1992;910.
8. Fishburn, P.C., 1978. A survey of multiattribute/multicriterion evaluation theories. In: Multiple Criteria Problem Solving: Proceedings, Buffalo, NY, (Zionts, S. 1977). Springer, New York.
9. Fishburn P.C. Analysis of decision with incomplete knowledge of probabilities. Operations Research. 13:1965;217-237.
10. Fishburn P.C. Von Neumann-Morgenstern utility functions on two attributes. Operations Research. 22:1974;35-45.
11. Geoffrion A.M., Dyer J.S., Feinberg A. An interactive approach for multicriterion optimization with an application to the operation of an academic department. Management Science. 19(4):1972;357-368.
12. Gill, P.E., Murray, W., Saunders, M.A., Wright, M.H., 1980. Computing finite-difference approximations to derivatives for numerical optimization. Stamford Systems Optimization Lab. Technical Report, SOL 80-5.
13. Hwang, C.L., Masud, A.S.M., 1979. Multiple Objective Decision Making - Methods and Applications. Springer, Berlin.
14. Hwang, C.L., Yoon, K., 1981. Multiple Attribute Decision Making - Methods and Applications. Springer, Berlin.
15. Jarmai K. Single and multicriteria optimization as a tool of decision support system. Computers in Industry. 11(3):1989;249.
16. Keeney, R.L., H. Raiffa., 1976. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York.
17. Keeney R.L. Multiplicative utility functions. Operations Research. 22:1974;22-34.
18. Kirkwood C.W., Corner J.L. The effect of partial information about attribute weights for ranking alternatives in multiattribute decision making. Organizational Behaviour and Human Decision Process. 54(3):1993;456.
19. Kirkwood C.W., Sarin R.K. Ranking with partial information: A method and an application. Operations Research. 23:1985;38-49.
20. Kirkwood C.W. Parametrically dependent preferences for multiattributed consequences. Operations Research. 24:1976;92-103.
21. Malakooti B., Deviprasad J. An interactive multiple criteria approach for parameter selection in metal cutting. Operations Research. 37(5):1989;805-818.
22. Malakooti B. Ranking multiple criteria alternatives with half-Space, convex, and non-convex dominating cones. Computers and Operations Research: An International Journal. 16(2):1989;117-127.
23. Malakooti B., Zhou Y. An adaptive feedforward artificial neural network with application to multiple criteria decision making. Management Science. 40(11):1994;1542-1561.
24. Malakooti B., Yang Z. A variable-parameter unsupervised learning clustering neural for machine part group formation. International Journal of Production Research. 33(9):1995;2395-2413.
25. Malakooti B., Zhou Y. Approximating polynomial functions by feedforward artificial neural networks: Capacity, analysis, and design. Applied Mathematics and Computation. 90:1998;27-52.
26. Marcotte O., Soland R.M. An interactive branch-and-bound algorithm for multiple criteria optimization. Management Science. 32(1):1986;61-75.
27. Pollak R.A. The risk independence axiom. Econometrica. 41:1973;35-39.
28. Sarin, R.K., 1977. Interactive Evaluation and Bound Procedure for Selecting Multiattributed Alternatives. In: Starr, M.K., Zeleny, M. (Eds.), Multiple Criteria Decision Making, Studies in Management Sciences. North Holland, New York, p. 6.
29. Srinivasan V., Shocker A.D. Linear programming techniques for multi-dimensional analysis of preferences. Psychometrika. 38(3):1973;337-369.
30. Steuer, R.E., 1986. Multiple Criteria Optimization: Theory, Computation, and Application. Wiley, New York.
31. Stewart G.W. A modification of Davidon's method to accept difference approximation of derivatives. JACM. 14:1967;72-83.
32. Yuan Y., Mehrez A., Gafni A. Reducing bias in a personnel assignment process via multiplicative utility solution. Management Science. 38(2):1992;27.
33. Zhou, Y., Solving adaptive multiple criteria problems by using artificial neural networks, Thesis, Department of Systems Engineering, 1992.