THE CONVERGENCE OF T-SUM OF FUZZY NUMBERS ON BANACH-SPACES

This paper presents the membership function of finite (or infinite) su m (defined by the sup-t-norm convolution) of fuzzy numbers on Banach s paces, in the case of Archimedean t-norm having convex additive genera tor function and fuzzy numbers with concave shape function, which gene ralizes Hong and Hwang's results [1] of the real case. As applications , we calculate the membership function of the limit distribution of Ya ger's, Hamacher's and Dombi's sum.