A T-sum bound of LR-fuzzy numbers
β Scribed by Dug Hun Hong; Changha Hwang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 563 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper, we provide an upper bound and a lower bound of T-sum of LR-fuzzy numbers with different spreads where T is Archimedean t-norm, and also show in three examples how close they are to actual membership functions Furthermore, we study when the membership function of T-sum achieves the upper bound.
π SIMILAR VOLUMES
In this paper, we study the existence of the limit of the series of fuzzy numbers with different spreads and different shape functions, where addition is defined by the sup-t-norm, and we show the uniform continuity of the limit. This generalizes the earlier results of Hong [Fuzzy Sets and Systems 7
This paper presents the membership function of finite (or infinite) sum (defined by the sup-t-norm convolution) of fuzzy numbers on Banach spaces, in the case of Archimedean t-norm having convex additive generator function and fuzzy numbers with concave shape function, which generalizes Hong and Hwa