Searching for psychologically stable solutions of multiple criteria decision problems

In interactive decision making, a choice behavior of the decision maker may differ depending on proximity of a current solution to satisfactory values of objectives. An interactive approach proposed in this paper allows the decision maker to use different search principles depending on his/her perception of the achieved values of objectives and trade-offs. While an analysis of the values of objectives may guide the initial search for a final solution, it can be replaced by trade-off evaluations at some later stages. Such an approach allows the decision maker to change search principles, and to identify a psychologically stable solution to the multiple criteria decision problem.

[1]  Simon French,et al.  Multi-Objective Decision Analysis with Engineering and Business Applications , 1983 .

[2]  J. Current,et al.  Theory and methodology , 1991 .

[3]  Lorraine R. Gardiner,et al.  Unified interactive multiple objective programming , 1994 .

[4]  Oleg I. Larichev,et al.  Verbal Decision Analysis for Unstructured Problems , 1997 .

[5]  Ignacy Kaliszewski,et al.  A modified weighted tchebycheff metric for multiple objective programming , 1987, Comput. Oper. Res..

[6]  James P. Ignizio,et al.  Linear Programming in Single- and Multiple-Objective Systems , 1984 .

[7]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[8]  Andrzej P. Wierzbicki,et al.  The Use of Reference Objectives in Multiobjective Optimization , 1979 .

[9]  D. E. Bell,et al.  Decision making: Descriptive, normative, and prescriptive interactions. , 1990 .

[10]  R. Benayoun,et al.  Linear programming with multiple objective functions: Step method (stem) , 1971, Math. Program..

[11]  Mark Gershon,et al.  Techniques for multiobjective decision making in systems management , 1986 .

[12]  Paul K. Moser,et al.  Rationality in action : contemporary approaches , 1990 .

[13]  Yacov Y. Haimes,et al.  Multiobjective Decision Making: Theory and Methodology , 1983 .

[14]  Pekka Korhonen,et al.  A Visual Interactive Method for Solving the Multiple-Criteria Problem , 1986 .

[15]  Wojtek Michalowski,et al.  Evaluation Of A Multiple Criteria Interactive Programming Approach: An Experiment , 1987 .

[16]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

[17]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[18]  S. French.  Decision Theory: An Introduction to the Mathematics of Rationality , 1986 .

[19]  Andrzej P. Wierzbicki,et al.  Aspiration Based Decision Support Systems , 1989 .

[20]  Wojtek Michalowski,et al.  A procedure for worst outcomes displacement in multiple criteria decision making , 1989, Comput. Oper. Res..

[21]  Ignacy Kaliszewski,et al.  Quantitative Pareto Analysis by Cone Separation Technique , 1994 .

[22]  A. Wierzbicki.  On the completeness and constructiveness of parametric characterizations to vector optimization problems , 1986 .

[23]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[24]  Wojtek Michalowski,et al.  A Bi-Reference Procedure for Interactive Multiple Criteria Programming , 1992, Oper. Res..

[25]  W. Michalowski,et al.  Efficient Solutions and Bounds on Tradeoffs , 1997 .

[26]  Hirotaka Nakayama,et al.  Satisficing Trade-off Method for Multiobjective Programming , 1984 .

[27]  H. Simon,et al.  Rational choice and the structure of the environment. , 1956, Psychological review.

[28]  A. M. Geoffrion.  Proper efficiency and the theory of vector maximization , 1968 .

[29]  Merja Halme.  Local characterization of efficient solutions in interactive multiple objective linear programming , 1992 .

[30]  Mordechai I. Henig,et al.  Tradeoff directions in multiobjective optimization problems , 1997, Math. Program..

[31]  Yacov Y. Haimes,et al.  Kuhn-Tucker multipliers as trade-offs in multiobjective decision-making analysis , 1979, Autom..

[32]  Wojtek Michalowski.  Use of the displaced worst compromise in interactive multiobjective programming , 1988, IEEE Trans. Syst. Man Cybern..

[33]  S. Zionts,et al.  An Interactive Multiple Objective Linear Programming Method for a Class of Underlying Nonlinear Utility Functions , 1983 .

[34]  G. W. Evans,et al.  An Overview of Techniques for Solving Multiobjective Mathematical Programs , 1984 .

[35]  M. Sakawa,et al.  Trade-off rates in the hyperplane method for multiobjective optimization problems , 1990 .

[36]  Eng Ung Choo,et al.  Proper Efficiency in Nonconvex Multicriteria Programming , 1983, Math. Oper. Res..

[37]  Andrzej P. Wierzbicki,et al.  Aspiration Based Decision Support Systems: Theory, Software and Applications , 1989 .