Fuzzy implications derived from additive generators of continuous Archimedean t-norms
β Scribed by Hua-Wen Liu; Zhen-Bo Li
- Book ID
- 112102133
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 502 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A simple method of computing the T-sum of special types of fuzzy numbers is introduced. For the Lukasiewicz t-norm TL the proposed method can be applied to the addition of fuzzy numbers with convex membership functions. The classes of fuzzy numbers leading to @-idempotents are studied for continuous
The addition rules of fuzzy numbers based on the generalized t-norms are given, which generalized the "min"-normbased addition rule of fuzzy numbers. The results are also extended to fuzzy intervals, Its possible applications are pointed.
All known connectives 'aod'l'or' for fuzzy sets or some classes can be introduced as t-noms/t-cooorms, where Liog's representation theorem is used as a basic tool, and which is illustrated by various known and new examples (Section 2). Given a strict negation function and one connective, the other c