A characterization of (U,N), RU, QL and D-implications derived from uninorms satisfying the law of importation

Authors:
M. Mas;M. Monserrat;J. Torrens
Affiliations:
Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain;Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain;Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

The law of importation is exhaustively studied for fuzzy implications derived from uninorms. All widely used classes of implications, that is (U,N), RU, QL and D-implications derived from most usual classes of uninorms are investigated. Along this study many new solutions of the law of importation appear different from those already known for implications derived from t-norms and t-conorms.