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Zbl 0629.90054
Sakawa, Masatoshi; Yano, Hitoshi
Interactive fuzzy decision making for multiobjective nonlinear programming using augmented minimax problems. (English)
[J] Fuzzy Sets Syst. 20, 31-43 (1986). ISSN 0165-0114

An interactive fuzzy decision-making method for solving multiobjective nonlinear programming problems is presented. The decision maker (DM) has fuzzy goals for each of the objectives which are quantified by eliciting corresponding membership functions through the interaction with DM. The DM specifies his reference membership values and the augmented minimax problem is solved for this case. The DM analyses the solution and responds by updating his reference membership values etc. In this way the compromise or satisfying solution for the DM can be derived. It is a Pareto-optimal solution.
[F.V.Burshtein]

MSC 2000:: *90B50 Multiple-criteria decision making
90C31 Sensitivity, etc.
90C30 Nonlinear programming

Keywords: interactive fuzzy decision-making; multiobjective nonlinear programming; fuzzy goals; Pareto-optimal solution

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