A new algorithm for minimizing a linear objective function subject to a system of fuzzy relation equations with max-product composition

Jian-xin Li () and Gang Hu
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Jian-xin Li: Guangdong University of Technology
Gang Hu: Guangdong University of Technology

Fuzzy Information and Engineering, 2010, vol. 2, issue 3, 249-267

Abstract: Abstract In this paper, we study a problem of minimizing a linear objective function subject to a system of fuzzy relation equations with max-product composition. First, we present a standard form of an original model. Then by using the concept of chained-set suite, we educe optimal solutions of the standard form, with which we can get optimal solutions of the original model. On basis of these results, finally we get an algorithm for the studied problem, which is simple and rapid for application.

Keywords: Fuzzy optimization; Fuzzy relational equations; Max-product composition (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s12543-010-0048-3

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