DocumentCode
2599157
Title
Consistency of models for approximate reasoning and systems of fuzzy relational equations
Author
Perfilieva, Irina G. ; Tonis, Alexander S.
Author_Institution
Dept. of Appl. Math., Moscow State Acad. of Instrum. Making & Inf., Russia
fYear
1996
fDate
19-22 Jun 1996
Firstpage
583
Lastpage
587
Abstract
Necessary and sufficient conditions for validity of the Generalized Modus Ponens scheme of inference are suggested in the general case where t-norm is arbitrary. The special cases of t-norms (min and Lukasiewicz t-norm) are considered separately with examples. The used techniques is based on solving the system of fuzzy relation equations. Thus the obtained results can also be interpreted as necessary and sufficient conditions for consistency of fuzzy relational equation systems
Keywords
fuzzy set theory; inference mechanisms; relational algebra; uncertainty handling; Generalized Modus Ponens scheme; approximate reasoning; fuzzy relational equations; inference; model consistency; sufficient conditions; t-norm; Equations; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Humans; Informatics; Instruments; Mathematics; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 1996. NAFIPS., 1996 Biennial Conference of the North American
Conference_Location
Berkeley, CA
Print_ISBN
0-7803-3225-3
Type
conf
DOI
10.1109/NAFIPS.1996.534801
Filename
534801
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