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On the limits of sums of fuzzy numbers

โœ Scribed by Kwon, Joongsung


Book ID
105684326
Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
126 KB
Volume
5
Category
Article
ISSN
1226-0061

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๐Ÿ“œ SIMILAR VOLUMES


On the convergence of T-sum series of fu
โœ L.C. Jang; J.S. Kwon ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

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

The convergence of T-sum of fuzzy number
โœ S.Y. Hwang; D.H. Hong ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 269 KB

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