A Solution Concept for Fuzzy Multiobjective Programming Problems Based on Convex Cones

H. C. Wu
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H. C. Wu: National Chi Nan University

Journal of Optimization Theory and Applications, 2004, vol. 121, issue 2, No 8, 397-417

Abstract: Abstract A solution concept for fuzzy multiobjective programming problems based on ordering cones (convex cones) is proposed in this paper. The notions of ordering cones and partial orderings on a vector space are essentially equivalent. Therefore, the optimality notions in a real vector space can be elicited naturally by invoking a concept similar to that of the Pareto-optimal solution in vector optimization problems. We introduce a corresponding multiobjective programming problem and a weighting problem of the original fuzzy multiobjective programming problem using linear functionals so that the optimal solution of its corresponding weighting problem is also the Pareto-optimal solution of the original fuzzy multiobjective programming problem.

Keywords: Fuzzy numbers; ordering cones; strong weak minimal elements; complete optimal solutions; Pareto-optimal solutions (weak) (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000037411.25509.6a

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