Ordering relation of fuzzy implications

Article type: Research Article

Authors: Hatzimichailidis, Anestis G. | Papadopoulos, Basil K.

Affiliations: Department of Civil Engineering Democritus University of Thrace GR-671 00 Xanthi, Greece. E-mail: hatz_ane@hol.gr, papadob@civil.duth.gr

Abstract: In this paper we introduce a specific method, which is based on generalized modus ponens and generalized modus tollens, for introducing an ordering relation on the set of fuzzy implications. The existence of an ordering relation between fuzzy implications helps us to order fuzzy implications in a more powerful and/or more functional classes. We believe that, apart from the theoretical interest, this method appears to have interesting applications.

Keywords: Fuzzy implication, ordering relation, fuzzy sets

Journal: Journal of Intelligent & Fuzzy Systems, vol. 19, no. 3, pp. 189-195, 2008