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Fuzzy approaches for multiple objective linear fractional optimization. (English) Zbl 0546.90094
Summary: The problem of finding a solution to a multiple objective linear fractional program arises in several real world situtions. In this paper we advocate that fuzzy sets theory provides a basis for solving this problem with sufficent consistency and rigorousness. After representing imprecise aspirations of the decision maker by structured linguistic variables or converting the original problem via approximations or change of variables into a multiple objective linear program, techniques of fuzzy linear programming may be used to reach a satisfactory solution. It is shown that under reasonable restrictions, this solution is efficient (Pareto optimal) for the original problem. Numerical examples are also included for illustration.
MSC:
90C32Fractional programming
90C05Linear programming
90C31Sensitivity, stability, parametric optimization
03E72Fuzzy set theory