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
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Sprache:eng
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Fuzzy set theory
Mathematical analysis
Norms
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container_title Fuzzy sets and systems
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creator Drygaś, Paweł
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description 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.
doi_str_mv 10.1016/j.fss.2015.01.015
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subjects Fuzzy set theory
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Norms
title Distributivity equations in the class of semi-t-operators
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