Convex linear T–S functions: A generalization of Frank's equation.

Abstract: The main purpose of this paper is to solve the functional equation , for and a pair of a t-norm T and a t-conorm S. This equation arises when we consider a convex linear combination of a t-norm and a t-conorm, and set out the problem of finding the intersection of the segments determined by the pairs and . [Copyright &y& Elsevier]