An interactive fuzzy satisficing method for multiobjective block angular linear programming problems with fuzzy parameters

✍ Scribed by Masatoshi Sakawa; Kosuke Kato

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 123 KB
• Volume: 111
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00452-7

✦ Synopsis

In this paper, by considering the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem-formulation process, large-scale multiobjective block-angular linear programming problems involving fuzzy parameters characterized by fuzzy numbers are formulated. Using the -level sets of fuzzy numbers, the corresponding nonfuzzy -programming problem is introduced. The fuzzy goals of the decision maker for the objective functions are quantiÿed by eliciting the corresponding membership functions including nonlinear ones. Through the introduction of an extended Pareto optimality concept, if the decision maker speciÿes the degree and the reference membership values, the corresponding extended Pareto optimal solution can be obtained by solving the minimax problems for which the Dantzig-Wolfe decomposition method is applicable. Then a linear programming-based interactive fuzzy satisÿcing method for deriving a satisÿcing solution for the decision maker e ciently from an extended Pareto optimal solution set is presented along with an illustrative numerical example.