INTRODUCTION
Multiple Criteria Decision Making (MCDM) refers to making decisions in the presence of multiple, usually conflicting, objectives. Multiple criteria decision problems pervade almost all decision situations ranging from common household decisions to complex strategic and policy level decisions in corporations and governments. Prior to the development of MCDM as a discipline, such problems have been traditionally addressed as single-criterion optimization problems by (i) deriving a composite measure of the objectives and optimizing it, or (ii) by choosing one of the objectives as the main decision objective for optimization and solving the problem by requiring an acceptable level of achievement in each of the other objectives. The emergence of MCDM as a discipline has been founded on two key concepts of human behavior, introduced and explored in detail by Herbert Simon in the 1950s: satisficing and bounded rationality. The two are inter-twined because satisficing involves...
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References
Belton, B. (1986). “A Comparison of the Analytic Hierarchy Process and a Simple Multi-Attribute Value Function,” European Jl. Operational Research, 26, 7–21.
Belton, B., and Gear, A.E. (1983). “On a Shortcoming of Saaty's Method of Analytic Hierarchies,” Omega, 11, 227–230.
Benayoun, R., De Montgolfier, J., Tergny, J., and Larichev, O. (1971). “Linear Programming with Multiple Objective Functions: Step Method (STEM),” Mathematical Programming, 1, 366–375.
Bitran, G.R. and Rivera, J.M. (1982). “A Combined Approach to Solving Binary Multicriteria Problems,” Naval Research Logistics, 29, 181–201.
Chankong, V. Haimes, Y.Y., Thadathil, J., and Zionts, S. (1984). “Multiple Criteria Optimization: A State of the Art Review,” in Decision Making with Multiple Objectives, Springer-Verlag, Berlin, 36–90.
Geoffrion, A.M. (1968). “Proper Efficiency and the Theory of Vector Maximization,” Jl. Mathematical Analysis and Applications, 22, 618–630.
Keeney, R.L. and Raiffa, H. (1976). Decisions with Multiple Objectives: Preferences and Value Trade-offs, John Wiley, New York.
Klein, D. and Hannan, E. (1982). “An Algorithm for the Multiple Objective Integer Linear Programming Problem,” European Jl. Operational Research, 9, 378–385.
Korhonen, P. and Laakso, J. (1986). “A Visual Interactive Method for Solving the Multiple Criteria Problem,” European Jl. Operational Research, 24, 277–287.
Korhonen, P., Wallenius, J., and Zionts, S. (1984). “Solving the Discrete Multiple Criteria Problem Using Convex Cones,” Management Science, 30, 1336–1345.
Lee, S.M. (1972). Goal Programming for Decision Analysis, Auerbach Publishers, Philadelphia.
Lotfi, V., Stewart, T.J., and Zionts, S. (1992). “An Aspiration-Level Interactive Model for Multiple Criteria Decision Making,” Computers and Operations Research, 19, 671–681.
Lotfi, V., Yoon, Y.S., and Zionts, S. (1997). “Aspiration-Based Search Algorithm (ABSALG) for Multiple Objective Linear Programming Problems: Theory and Comparative Tests,” Management Science, 43, 1047–1059.
Pasternak, H. and Passy, V. (1973). “Bicriterion Mathematical Programs with Boolean Variables,” in Multiple Criteria Decision Making, University of South Carolina Press, Columbia.
Prasad, S.A., Karwan, M.H., and Zionts, S. (1997). “Use of Convex Cones in Interactive Multiple Objective Decision Making,” Management Science, 43, 723–734.
Ramesh, R., Karwan, M.H., and Zionts, S. (1989). “Preference Structure Representation Using Convex Cones in Multicriteria Integer Programming,” Management Science, 35, 1092–1105.
Saaty, Thomas L. (1980). The Analytic Hierarchy Process, McGraw-Hill, New York.
Simon, H. (1957). Administrative Behavior, The Free Press, New York.
Steuer, R.E. (1976). “Multiple Objective Linear Programming with Interval Criterion Weights,” Management Science, 23, 305–316.
Teich, J.E., Wallenius, H., Wallenius, J., and Zionts, S. (1996). “Identifying Pareto-Optimal Settlements for Two-Party Resource Allocation Negotiations,” European Jl. Operational Research, 93, 536–549.
Villarreal, B. and Karwan, M.H. (1981). “Multicriteria Integer Programming: A (Hybrid) Dynamic Programming Recursive Approach,” Mathematical Programming, 21, 204–223.
Yu, P.L. and Zeleny, M. (1976). “Linear Multiparametric Programming by Multicriteria Simplex Method,” Management Science, 23, 159–170.
Zionts, S. and Wallenius, J. (1976). “An Interactive Programming Method for Solving the Multiple Criteria Problem,” Management Science, 22, 652–663.
Zionts, S. and Wallenius, J. (1980). “Identifying Efficient Vectors: Some Theory and Computational Results,” Operations Research, 28, 788–793.
Zionts, S. and Wallenius, J. (1983). “An Interactive Multiple Objective Linear Programming Method for a Class of Underlying Nonlinear Utility Functions,” Management Science, 29, 519–529.
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© 2001 Kluwer Academic Publishers
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Ramesh, R., Zionts, S. (2001). Multiple criteria decision making. In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_653
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DOI: https://doi.org/10.1007/1-4020-0611-X_653
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