On a family of t-norms
β Scribed by Gaspar Mayor; Joan Torrens
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 227 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
We define a new t-norm, and t-conorm, whose domain is usually a restricted subset of [0, l] x [0, 1], with one parameter, the correlation coefficient between the membership values, which ranges from -l to 1. We then investigate their properties showing at one extreme they equal the Zadeh operators (
In this paper, a method is presented for constructing t-norms on product lattices (in other words: commutative partially ordered integral monoids over product lattices) which are not direct products. The method is fairly general and allows to generate a broad class of such t-norms. This solves an op
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.