Authors: Jočić, Dragan 
Štajner-Papuga, Ivana
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Distributivity equations for aggregation operations with annihilator over uninorms
Journal: Aequationes Mathematicae
Volume: 96
First page: 677
Last page: 699
Issue Date: 2022
Rank: ~M22
ISSN: 0001-9054
DOI: 10.1007/s00010-021-00844-4
Abstract: 
The issue of distributivity of aggregation operations is crucial for many different areas such as utility theory and integration theory. Of special interest are aggregation operations with annihilator. This paper is focused on the problem of distributivity for some so called associative, commutative aggregation operations with annihilator a, known as associative a-CAOA, and uninorms. The full characterization of distributive pairs for T-uninorms, S-uninorms and bi-uninorms is given.
Keywords: Bi-uninorms | Distributivity equations | S-uninorms | T-uninorms
Publisher: Springer Link

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