Distributivity between uninorms and nullnorms

Authors:
Józef Drewniak;Paweł Drygaś;Ewa Rak
Affiliations:
Institute of Mathematics, University of Rzeszów, Rejtana 16a, 35-310 Rzeszów, Poland;Institute of Mathematics, University of Rzeszów, Rejtana 16a, 35-310 Rzeszów, Poland;Institute of Mathematics, University of Rzeszów, Rejtana 16a, 35-310 Rzeszów, Poland
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

Recently the distributivity equation was investigated in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of associativity is not necessary in consideration of distributivity equation. Moreover, if we omit commutativity assumption, consideration of the left and right distributivity conditions is reasonable. Previous results about distributivity between uninorms and nullnorms can be obtained as simple corollaries.