On the minimal solutions of max--min fuzzy relational equations

Authors:
Chi-Tsuen Yeh
Affiliations:
Department of Mathematics Education, National University of Tainan, 33, Sec. 2, Shu-Lin St., 70005 Tainan, Taiwan
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

In this paper, the minimal solutions of max-min fuzzy relational equations are investigated. A sufficient and necessary condition, for discriminating whether a given solution is minimal or not, is shown. Furthermore, we propose a new algorithm for computing all minimal solutions less than or equal to a given one.