Abstract
AbstractThis paper presents an interactive fuzzy decisionmaking method for the solution of multiobjective nonlinear programming problems. Considering the imprecise nature of the decision maker's judgments, we assume that for each of the objective functions, he has fuzzy goals expressed in words such as “x should be somewhat larger than a,” “y should be substantially less than b” or “z should be in the vicinity of c.” to quantify the fuzzy goals of the DM by eliciting the corresponding membership functions, we propose five types of membership functions: linear, exponential, hyperbolic, hyperbolic inverse and piecewise‐linear functions.Through the use of five types of membership functions, the fuzzy or imprecise goals of the decision maker are quantified. Then by selecting one of the three possible fuzzy strategies, the compromise solution of the decision maker can be derived from among (local) Pareto optimal solutions. On the basis of the proposed method, a time‐sharing computer program is written in FORTRAN and an illustrative numerical example is demonstrated together with the computer outputs.
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