t-Norm-based addition of fuzzy intervals
✍ Scribed by Róbert Fullér; Tibor Keresztfalvi
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 258 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0165-0114
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📜 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.
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.
In this paper, the notions of similar fuzzy numbers and similarity preserving additions of fuzzy numbers are introduced. Using similar fuzzy numbers enables to investigate preserving the type of fuzzy numbers with respect to the t-norm-based arithmetical operations, especially in the case of fuzzy n