On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers

Manuel Arana-Jiménez () and Carmen Sánchez-Gil ()
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Manuel Arana-Jiménez: University of Cádiz
Carmen Sánchez-Gil: University of Cádiz

Journal of Global Optimization, 2020, vol. 77, issue 1, No 3, 27-52

Abstract: Abstract The paper presents a new method for solving fully fuzzy linear programming problems with inequality constraints and parameterized fuzzy numbers, by means of solving multiobjective linear programming problems. The equivalence is proven between the set of nondominated solutions of the fully fuzzy linear programming problem and the set of weakly efficient solutions of the considered and related multiobjective linear problem. The whole set of nondominated solutions for a fully fuzzy linear programming problem is explicitly obtained by means of a finite generator set.

Keywords: Fully fuzzy linear programming problem; Parameterized fuzzy numbers; Multiobjective optimization (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10898-019-00841-7

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