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The convergence of T-sum of fuzzy numbers on Banach spaces

✍ Scribed by S.Y. Hwang; D.H. Hong

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
269 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 Hwang's results [1] of the real case. As applications, we calculate the membership function of the limit distribution of Yager's, Hamacher's and Dombi's sum.

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