A method for constructing non-t-representable intuitionistic fuzzy t-norms satisfying the residuation principle

摘要

Intuitionistic fuzzy sets constitute an ex-tension of fuzzy sets giving both a mem-bership degree and a non-membership degree, whose sum must be smaller than or equal to 1. In fuzzy set theory, an important class of triangular norms is the class of those that satisfy the residuation principle. In this paper we give a construction for intuitionistic fuzzy t-norms satisfying the residuation princi-ple which are not t-representable.