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A survey on different triangular norm-based fuzzy logics

✍ Scribed by Erich Peter Klement; Mirko Navara


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
876 KB
Volume
101
Category
Article
ISSN
0165-0114

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Fuzzy predicate calculi are powerful tools in analyzing topics of Zadeh's agenda, such as fuzzy modus ponens, compositional rule of inference, fuzzy functions and fuzzy control, etc. So far, however, predicate logics which are complete with respect to the semantics over [0; 1] are rather scarce. In

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## Abstract In general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict t‐norms and their dual t‐conorms. Adding an involutive negation,

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In this article, we introduce a generalized extension principle by substituting a more general triangular norm T for the min intersection operator in Zadeh's extension principle. We also introduce a family of propositional logics, sup-T extension logics, obtained by the extension of classical-logica