An interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy parameters. (English) Zbl 0676.90078

The paper considers the problem of multiobjective nonlinear programming (MONP) with fuzzy parameters involved in the objective and constraints functions. On the basis of the \(\alpha\)-level sets of these fuzzy paramters given by a decision maker (DM) a solution of a minmax problem is shown to be an “M-\(\alpha\)-Pareto optimal solution” to the MONP. An interactive fuzzy method to derive the “satisficing” solution of the DM from the M-\(\alpha\)-Pareto optimal set is also presented, together with an illustrative example and a short description of a computer program.
Reviewer: V.Dumitru


90C31 Sensitivity, stability, parametric optimization
90C30 Nonlinear programming
90B50 Management decision making, including multiple objectives
03E72 Theory of fuzzy sets, etc.
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