The convergence of T-sum of fuzzy numbers on Banach spaces Original Research Article

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 Hwangʹs results [1] of the real case. As applications, we calculate the membership function of the limit distribution of Yagerʹs, Hamacherʹs and Dombiʹs sum.