A stepwise fuzzy linear programming model with possibility and necessity relations

作者: Adel Hatami-Marbini , Per J. Agrell , Madjid Tavana , Ali Emrouznejad

DOI: 10.3233/IFS-2012-0616

关键词: Fuzzy linear programmingFuzzy classificationFuzzy logicLinear programmingMathematical optimizationMathematicsAlgorithmOptimization problemFuzzy setFuzzy numberFuzzy set operations

摘要: Linear programming LP is the most widely used optimization technique for solving real-life problems because of its simplicity and efficiency. Although conventional models require precise data, managers decision makers dealing with real-world often do not have access to exact values. Fuzzy sets been in fuzzy FLP deal imprecise data variables, objective function and/or constraints. The imprecisions could be related 1 variables; 2 coefficients variables function; 3 constraints; 4 right-hand-side or 5 all these parameters. In this paper, we develop a new stepwise model where numbers are considered function, constraints first step, use possibility necessity relations without considering function. subsequent extend our method We two numerical examples from literature comparison purposes demonstrate applicability proposed computational efficiency procedures algorithms.

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