Interactive decision making for large-scale multiobjective linear programs with fuzzy numbers

✍ Scribed by Masatoshi Sakawa; Kosuke Kato

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 613 KB
• Volume: 88
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00059-0

✦ Synopsis

In this paper, by considering the experts' imprecise or fuzzy understanding of the nature of the parameters in the problemformulation process, large-scale multiobjective block-angular linear programming problems involving fuzzy numbers are formulated. Through the use of the a-level sets of fuzzy numbers, an extended Pareto optimality concept, called the a-Pareto optimality is introduced. To generate a candidate for the satisficing solution which is also ~-Pareto optimal, decision maker is asked to specify the degree ¢~ and the reference objective values. It is shown that the corresponding ~-Pareto optimal solution can be easily obtained by solving the minimax problems for which the Dantzig-Wolfe decomposition method is applicable. Then a linear programming-based interactive decision-making method for deriving a satisficing solution for the decision maker efficiently from an ~-Pareto optimal solution set is presented. @