Using the technique of scalarization to solve the multiobjective programming problems with fuzzy coefficients

Authors:
Hsien-Chung Wu
Affiliations:
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

Citing 14
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Abstract

Scalarization of the multiobjective programming problems with fuzzy coefficients 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 multiobjective programming problems with fuzzy coefficients. Two solution concepts are proposed in this paper by considering different convex cones.