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Fuzzy parametric iterative method for multi-objective linear fractional optimization problems. (English) Zbl 1366.90189

Summary: This paper presents a fuzzy parameter based iterative method for solving multi-objective linear fractional optimization problems. Using the proposed method, number of \(\epsilon\)-fuzzy efficient and fuzzy efficient solutions can be generated. The obtained fuzzy efficient solutions or \(\epsilon\)-fuzzy efficient solutions have some addition features in terms of percentage contribution of each objective. The relative importance of each objective can be found in terms of satisfaction degree, value of membership function at the obtained solution, for each objective. Some theoretical results are also established for the validation of the proposed method and the method is coded in matlab (versionR2014b). The efficiency of the method is verified by applying on numerical problems.

MSC:

90C29 Multi-objective and goal programming
90C05 Linear programming
90C32 Fractional programming
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming

Software:

MOLFP; Matlab
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Full Text: DOI

References:

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