Distributivity between semi-t-operators and semi-nullnorms

Distributivity between semi-t-operators and semi-nullnorms

Recently the distributivity equation was discussed in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions of distributivity between semi-t-operators and semi-nullnorms. Previous results about distributivity between nullnorm...

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Veröffentlicht in:Fuzzy sets and systems 2015-04, Vol.264, p.100-109
1. Verfasser: Drygas, Pawel
Format: Artikel
Sprache:eng
Schlagworte:
Aggregation operators
Distributivity equation
Fuzzy set theory
Mathematical analysis
Norms
Semi-nullnorms
Semi-t-operators
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Zusammenfassung:Recently the distributivity equation was discussed in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions of distributivity between semi-t-operators and semi-nullnorms. Previous results about distributivity between nullnorms can be obtained as simple corollaries.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2014.09.003