Solutions of Fuzzy Multiobjective Programming Problems Based on the Concept of Scalarization

H. C. Wu ()
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H. C. Wu: National Kaohsiung Normal University

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 2, No 10, 378 pages

Abstract: Abstract Scalarization of fuzzy multiobjective programming problems using the embedding theorem and the concept of convex cone (ordering cone) is proposed in this paper. Since the set of all fuzzy numbers can be embedded into a normed space, this motivation naturally inspires us to invoke the scalarization techniques in vector optimization problems to evaluate the a multiobjective programming problem. Two solution concepts are proposed in this paper by considering different convex cones.

Keywords: Fuzzy numbes; Convex cones; Partial ordering; (Weakly) minimal elements; (Weak) Pareto optimal solutions (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-008-9419-x

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