Abstract
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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