AN ALGORITHM FOR FUZZY RELATION EQUATIONS WITH MAX-PRODUCT COMPOSITION

Jian-Xin Li (P. R. China) and Gang Hu (P. R. China)

Received October 12, 2008; Revised February 2, 2009

Abstract

In this paper, we study the solution procedure of fuzzy relation system with max-product composition. We first simplify the system and get its standard form. Then we define the standard form’s minimal complete set suite and chained-set suite, and reveal the relations among these concepts and minimal solutions. Finally, by utilizing these concepts and results, we obtain an algorithm for the fuzzy relation system with max-product composition.

Keywords and phrases: fuzzy systems, fuzzy relational equations, fuzzy compositions, max-product composition, algorithm for fuzzy relation equations, minimal complete set suite.