Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
The discriminant about the Existence of Solutions in Fuzzy Inverse Problem
ShengRian HANTakashi SEKIGUCHIHiroshi TAKAHASHI
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1993 Volume 5 Issue 5 Pages 1142-1154,1247-

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Abstract

The fuzzy relation equations that were proposed by Sanchez in 1976,are very useful, when we want to deal with fuzzy relations between human behaviors and subjective evaluations. This paper presents a study on the method of finding whether or not the fuzzy relation equations have solutions. This method can be applied not only the above-mentioned fuzzy relation equations but also be extended to fuzzy relation equations such as fuzzy inequality and fuzzy relation equations whose elements are indicated by interval values between O and 1. This method consists of "the Signs Matrix Technique" that was proposed. "Signs Matrix" is the martix whose elements are a greater/less then comparison sign between 2 matrixes. This technique enables us to find the existence of solutions of extended fuzzy relation equations very easily.

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© 1993 Japan Society for Fuzzy Theory and Intelligent Informatics
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