Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
A Rule-based Method to Solve Max-min Fuzzy Relational Equations Providing Exactly with the Widest Solution Sets
ARNOULD ThierryShun'ichi TANO
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1993 Volume 5 Issue 6 Pages 1337-1353

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Abstract

In this paper, we propose a new method, based on a non conventional approach, to determine exactly all the widest solution sets of a fuzzy relational equation. Fuzzy relational equations have received much attention from many researchers until now, however the proposed methods rarely enable to calculate the widest solution sets only. Indeed, it is often the case that some of the calculated solution sets are included in wider ones and then have to be removed from the list of solution sets. In this paper, we propose a rule-based method whose main advantage is to provide with exactly all the widest solution sets.

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© 1993 Japan Society for Fuzzy Theory and Intelligent Informatics
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