S- and R-implications from uninorms continuous in ]0,1[2 and their distributivity over uninorms

Authors:
D. Ruiz-Aguilera;J. Torrens
Affiliations:
Department of Mathematics and Computer Science, University of the Balearic Islands, Cra. de Valldemossa, Km. 7,5, 07122 Palma de Mallorca, Spain;Department of Mathematics and Computer Science, University of the Balearic Islands, Cra. de Valldemossa, Km. 7,5, 07122 Palma de Mallorca, Spain
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 10
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Abstract

This work deals with two kinds of implications derived from uninorms continuous in ]0,1[^2: S-implications and R-implications. In both cases, the general expression of such implications is found and several properties are studied. In particular, the distributivity of the S- and R-implications over conjunctive and disjunctive uninorms is investigated.