Solving fuzzy relation equations with a linear objective function

An optimization model with a linear objective function subject to a system of fuzzy relation equations is presented. Due to the non-convexity of its feasible domain defined by fuzzy relation equations, designing an efficient solution procedure for solving such problems is not a trivial job. In this...

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Vydáno v:	Fuzzy sets and systems Ročník 103; číslo 1; s. 107 - 113
Hlavní autoři:	Fang, Shu-Cherng, Li, Guangzhi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 01.04.1999 Elsevier
Témata:	Applied sciences Artificial intelligence Branch-and-bound method Computer science; control theory; systems Exact sciences and technology Fuzzy relation equations Integer programming Mathematical programming Operational research and scientific management Operational research. Management science Problem solving, game playing Fuzzy relation equations Integer programming Branch-and-bound method Branch and bound method Optimization method Fuzzy relation Convexity Objective function Algorithm
ISSN:	0165-0114, 1872-6801
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Abstract	An optimization model with a linear objective function subject to a system of fuzzy relation equations is presented. Due to the non-convexity of its feasible domain defined by fuzzy relation equations, designing an efficient solution procedure for solving such problems is not a trivial job. In this paper, we first characterize the feasible domain and then convert the problem to an equivalent problem involving 0–1 integer programming with a branch-and-bound solution technique. After presenting our solution procedure, a concrete example is included for illustration purpose.
AbstractList	An optimization model with a linear objective function subject to a system of fuzzy relation equations is presented. Due to the non-convexity of its feasible domain defined by fuzzy relation equations, designing an efficient solution procedure for solving such problems is not a trivial job. In this paper, we first characterize the feasible domain and then convert the problem to an equivalent problem involving 0–1 integer programming with a branch-and-bound solution technique. After presenting our solution procedure, a concrete example is included for illustration purpose.
Author	Fang, Shu-Cherng Li, Guangzhi
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Snippet	An optimization model with a linear objective function subject to a system of fuzzy relation equations is presented. Due to the non-convexity of its feasible...
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SubjectTerms	Applied sciences Artificial intelligence Branch-and-bound method Computer science; control theory; systems Exact sciences and technology Fuzzy relation equations Integer programming Mathematical programming Operational research and scientific management Operational research. Management science Problem solving, game playing
Title	Solving fuzzy relation equations with a linear objective function
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