A triangular norm-based fuzzy predicate logic
โ Scribed by San-Min Wang; Bao-Shu Wang; Guo-Jun Wang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 237 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
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 this paper, a new type of fuzzy predicate logic K * L , which has a recursive axiomatization that is complete with respect to the semantics over [0; 1], is introduced. Furthermore, its important applications are also discussed.
๐ SIMILAR VOLUMES
The strict triangular norm-based addition of fuzzy intervals of L-R type with any left and right spreads is approximated by a necessary and sufficient condition, which generalizes the results about fuzzy numbers of L-R type with common spreads.
From a mathematical point of view, the use of triangular norms as connectives in many-valued, in particular in [0, 1]valued logics and fuzzy logics is discussed. Also, an overview of some non-additive generalizations of classical measures is given. (~) 1997 Elsevier Science B.V.