Intersections between some families of (U,N)- and RU-implications

Authors:
Michał Baczyński;Balasubramaniam Jayaram
Affiliations:
Institute of Mathematics, University of Silesia, 40-007 Katowice, ul. Bankowa 14, Poland;Department of Mathematics, Indian Institute of Technology, Hyderabad, Yeddumailaram 502 205, India
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

(U,N)-implications and RU-implications are the generalizations of (S,N)- and R-implications to the framework of uninorms, where the t-norms and t-conorms are replaced by appropriate uninorms. In this work, we present the intersections that exist between (U,N)-implications and the different families of RU-implications obtainable from the well-established families of uninorms.