Composite fuzzy relational equations with non-commutative conjunctions

Through this study, the authors treat two kinds of fuzzy logical operators, that is, non-commutative conjunctions and their residual implications which include almost all of already-known functions in the field of fuzzy logic. Corresponding to such operators, two kinds of generalized compositions of...

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Bibliographic Details
Published inInformation sciences Vol. 110; no. 1; pp. 113 - 125
Main Authors Kawaguchi, Mayuka F., Miyakoshi, Masaaki
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.1998
Subjects
Composition of fuzzy relations
Non-commutative conjunction
Relational equation
Residuation
Relational equation
Non-commutative conjunction
Residuation
Composition of fuzzy relations
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Summary:Through this study, the authors treat two kinds of fuzzy logical operators, that is, non-commutative conjunctions and their residual implications which include almost all of already-known functions in the field of fuzzy logic. Corresponding to such operators, two kinds of generalized compositions of fuzzy relations are introduced, and the solutions of new composite relational equations are given. This work reveals that the solutions include the results of the past researches in the field of fuzzy relational equations as special cases. Some specific numerical examples of the solutions of a given equation illustrate the mechanism of these compositions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-0255
1872-6291
DOI:10.1016/S0020-0255(97)10080-9