Authors: Jočić, Dragan 
Štajner-Papuga, Ivana
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Aggregation Operators and Distributivity Equations
Journal: Artificial Intelligence: Theory and Applications
Series/Report no.: Studies in Computational Intelligence
First page: 121
Last page: 135
Issue Date: 1-Jan-2021
Rank: M14
ISBN: 978-3-030-72711-6
ISSN: 1860-949X
DOI: 10.1007/978-3-030-72711-6_7
Aggregation operators are an important mathematical tool in a number of areas and disciplines of both pure and applied mathematics. For both theoretical and practical reasons, aggregation operators with an annihilator and aggregation operators with a neutral element are of special interest for researchers. The issue of distributivity of aggregation operators is crucial for many different areas such as decision making theory and integration theory. This chapter covers the characterization of all pairs (F, G) of aggregation operators that satisfy distributivity law, on both whole and restricted domains, where F is a T-uninorm in Umax or a nullnorm with the annihilator a∈ ] 0, 1 [, and G is a t-conorm or a uninorm from the classes Umin or Umax.
Keywords: Aggregation operator | Conditional distributivity | Distributivity equation | Nullnorm | Triangular conorm | Triangular norm | Uninorm
Publisher: Springer Link

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