Proceedings of the Fuzzy System Symposium
23rd Fuzzy System Symposium
Session ID : TD1-5
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Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)

Constructions of Associative Functions for Several Fuzzy Logics
*MAYUKA F. KAWAGUCHI, OSAMU WATARI, MASAAKI MIYAKOSHI
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Keywords: associative function, semigroup, ordinal sum, conjunctive operation
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Abstract
In this report, the ordinal sum theorem of semigroups is applied to construct logical operations for several fuzzy logics. The generalized form of ordinal sum for fuzzy logics on [0,1] is defined in order to express uniformly several families of logical operations, and then the conditions for the conjunction/disjunction-likeness or for the left/right-continuity are presented.
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© 2007 Japan Society for Fuzzy Theory and Intelligent Informatics
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