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Solving a class of fuzzy linear programs by using semi-infinite programming techniques

Teresa LeónEnriqueta Vercher

subject

Mathematical optimizationLinear programmingMathematics::General MathematicsArtificial IntelligenceLogicFuzzy setFuzzy numberFuzzy set operationsFuzzy control systemDefuzzificationFuzzy logicSemi-infinite programmingMathematics

description

This paper deals with a class of Fuzzy Linear Programming problems characterized by the fact that the coefficients in the constraints are modeled as LR-fuzzy numbers with different shapes. Solving such problems is usually more complicated than finding a solution when all the fuzzy coefficients have the same shape. We propose a primal semi-infinite algorithm as a valuable tool for solving this class of Fuzzy Linear programs and, we illustrate it by means of several examples.

yearjournalcountryeditionlanguage
2004-09-01Fuzzy Sets and Systems
https://doi.org/10.1016/j.fss.2003.09.010