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(U,N)-implications and their characterizations
Published in
2009
Volume: 160
   
Issue: 14
Pages: 2049 - 2062
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. © 2008 Elsevier B.V. All rights reserved.
About the journal
JournalFuzzy Sets and Systems
ISSN01650114