Isomorphic continuous connectives in fuzzy logic

Issue title: Dedicated to the 60th birthday of Etienne E. Kerre

Article type: Research Article

Authors: Maes, K. | De Baets, B.

Affiliations: Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Gent, Belgium

Note: [] Corresponding author. E-mail: [email protected]

Abstract: Introducing rescaling functions in the definition of an ordinal sum enables us to use ordinal sums for constructing De Morgan triplets. We investigate under which conditions continuous connectives in fuzzy logic are isomorphic to one another and present necessary and sufficient conditions such that a triplet (T,S,N), consisting of a continuous t-norm T, a continuous t-conorm S and a strict negator N, is isomorphic to a given De Morgan triplet.

Journal: Journal of Intelligent & Fuzzy Systems, vol. 16, no. 4, pp. 273-279, 2005