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Optimization of fuzzy relation equations with max-product composition

✍ Scribed by Jiranut Loetamonphong; Shu-Cherng Fang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
133 KB
Volume
118
Category
Article
ISSN
0165-0114

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✦ Synopsis

An optimization problem with a linear objective function subject to a system of fuzzy relation equations using maxproduct composition is considered. Since the feasible domain is non-convex, traditional linear programming methods cannot be applied. We study this problem and capture some special characteristics of its feasible domain and the optimal solutions. Some procedures for reducing the original problem are presented. The problem is transformed into a 0 -1 integer program which is then solved by the branch-and-bound method. For illustration purpose, an example of the procedures is provided.

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