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
A survey on different triangular norm-based fuzzy logics
β 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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## 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 tβnorms and their dual tβconorms. Adding an involutive negation,
## Abstract In this paper we carry out an algebraic investigation of the weak nilpotent minimum logic (WNM) and its tβnorm based axiomatic extensions. We consider the algebraic counterpart of WNM, the variety of WNMβalgebras (πβπ) and prove that it is locally finite, so all its subvarieties are gen
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