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Interactive fuzzy decision making for multiobjective nonlinear programming using augmented minimax problems. (English) Zbl 0629.90054
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.
Reviewer: F.V.Burshtein
MSC:
90B50Management decision making, including multiple objectives
90C31Sensitivity, stability, parametric optimization
90C30Nonlinear programming