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Zbl 0715.90098
Sakawa, Masatoshi; Yano, Hitoshi
An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters. (English)
[J] Fuzzy Sets Syst. 35, No.2, 125-142 (1990). ISSN 0165-0114

Summary: An interactive method to find an $\alpha$-Pareto optimal solution to a multiobjective linear programming problem, with the coefficients varying in a parameter domain defined by an $\alpha$-level set of their membership functions, are presented. The method is exemplified in case of choosing the $\alpha$-Pareto solution on the base of finding the minmax solution of the membership functions of the objectives.

MSC 2000:: *90C70 Fuzzy programming
90C29 Multi-objective programming, etc.
90B50 Multiple-criteria decision making
03E75 Appl. of set theory
90C05 Linear programming

Keywords: interactive fuzzy satisficing method; multiobjective linear programming; fuzzy parameters; $\alpha $ -multiobjective linear programming; M-$\alpha $ -Pareto optimality; man-machine interactive procedures; interactive method; $\alpha $ -Pareto optimal solution

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Zentralblatt MATH Berlin [Germany]