An Algorithm for Solving Fuzzy Relation Programming with the Max-T Composition Operator

An Algorithm for Solving Fuzzy Relation Programming with the Max-T Composition Operator

A. A. Molai

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Abstract

This paper studies the problem of minimizing a linear objective function subject to max-T fuzzy relation equation constraints where T is a special class of pseudo-t-norms. Some sufficient conditions are presented for determination of its optimal so¬lutions. Some procedures are also suggested to simplify the original problem. Some sufficient conditions are given for uniqueness of its optimal solution. Finally, an algo¬rithm is proposed to find its optimal solution.

 

 

Keywords

Fuzzy relation equations; Max-T composition; Maximum solution; Minimal solution; Fuzzy optimization; Optimal solution.