A note on t-norm-based addition of fuzzy intervals
β Scribed by Dug Hun Hong
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 152 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0165-0114
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π 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.
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.