(U,N)-implications and their characterizations

Authors:
Michał Baczyński;Balasubramaniam Jayaram
Affiliations:
Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland;Department of Mathematics and Computer Sciences, Sri Sathya Sai University, Prasanthi Nilayam, Andhra Pradesh 515134, India and Department of Mathematics, Faculty of Civil Engineering, Slovak Univ ...
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 10
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Abstract

Recently, we have presented characterizations of (S,N)-implications generated from t-conorms and continuous (strict, strong) negations. Uninorms were introduced by Yager and Rybalov in 1996 as a generalization of t-norms and t-conorms, thus they are another fertile source based on which one can define fuzzy implications. (U,N)-implications are a generalization of (S,N)-implications, where a t-conorm S is replaced by a (disjunctive) uninorm U. In this work we present characterizations of (U,N)-implications obtained from disjunctive uninorms and continuous negations as well as (U,N)-operations defined from uninorms and continuous negations.