Linear objective function optimization with fuzzy relation equation constraints regarding max–av composition

In this paper, an optimization model with a linear objective function subject to a system of the fuzzy relation equations with max–av composition is presented. The solution set of such a fuzzy relation equations is a non-convex set. In this paper, firstly we discuss the feasible solution set with tw...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 173; no. 2; pp. 872 - 886
Main Authors: Khorram, E., Ghodousian, A.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 15.02.2006
Elsevier
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
Fuzzy relation equations
Linear objective function optimization
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Sciences and techniques of general use
Fuzzy relation equations
Linear objective function optimization
Fuzzy system
Numerical analysis
Convex set
Linear function
Applied mathematics
Optimization method
Fuzzy relation
Objective function
Mathematical programming
Equation system
ISSN:0096-3003, 1873-5649
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Summary:In this paper, an optimization model with a linear objective function subject to a system of the fuzzy relation equations with max–av composition is presented. The solution set of such a fuzzy relation equations is a non-convex set. In this paper, firstly we discuss the feasible solution set with two schemes and, secondly, study relationship between maximum and minimum points, and also, the feasible points as well. Furthermore, an algorithm and few concrete examples are presented in order to optimize linear objective function.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.04.021