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Fuzzy sets and t-norms in the light of fuzzy logic

✍ Scribed by Vilém Novák; Witold Pedrycz

Publisher
Elsevier Science
Year
1988
Weight
752 KB
Volume
29
Category
Article
ISSN
0020-7373

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✦ Synopsis

The paper is a discussion of the many-valued fuzzy logic, which is syntacticosemantically complete and its impact on the fuzzy set theory, namely on the operations with fuzzy sets. Arguments that all the operations with membership grades must fulfil the so called fitting condition are given. It follows that general t-norms are not suitable to be basis of the operations with fuzzy sets. Some general classes of operations with membership grades are presented.

📜 SIMILAR VOLUMES

Some mathematical aspects of fuzzy sets:
Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures
✍ Erich Peter Klement 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 471 KB

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.