Minimizing a linear objective function under a max-t-norm fuzzy relational equation constraint

Authors:
Sy-Ming Guu;Yan-Kuen Wu
Affiliations:
Department of Business Administration, Yuan Ze University, Taoyuan 320, Taiwan, ROC;Department of Industrial Management, Vanung University, Taoyuan 320, Taiwan, ROC
Venue:
Fuzzy Sets and Systems
Year:
2010

Citing 6
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Abstract

This paper aims to solve the problem of minimizing a linear objective function subject to a max-T fuzzy relational equation constraint, with T a continuous t-norm. This study makes two contributions. First, two extensions are given based on the results in Fang et al., where the max-min or max-product fuzzy relational equation constraint is considered. Second, a procedure for solving optimization problems with the max-Archimedean t-norm fuzzy relational equation constraint is provided. A numerical example is provided to illustrate the procedure.