Distributivity equations in the class of semi-t-operators

Distributivity equations in the class of semi-t-operators

Recently, the distributivity equations have been discussed in families of certain operations (e.g., triangular norms, conorms, uninorms, and nullnorms). In this study, we present the solutions to distributivity between semi-t-operators. Previous results related to the distributivity between nullnorm...

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Veröffentlicht in:Fuzzy sets and systems 2016-05, Vol.291, p.66-81
Hauptverfasser: Drygaś, Paweł, Rak, Ewa
Format: Artikel
Sprache:eng
Schlagworte:
Fuzzy set theory
Mathematical analysis
Norms
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Beschreibung
Zusammenfassung:Recently, the distributivity equations have been discussed in families of certain operations (e.g., triangular norms, conorms, uninorms, and nullnorms). In this study, we present the solutions to distributivity between semi-t-operators. Previous results related to the distributivity between nullnorms and between semi-t-operators and semi-nullnorms can be obtained as simple corollaries.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2015.01.015