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Preassociative aggregation functions
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DOI：10.1016/j.fss.2014.11.010.png)
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Abstract
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The classical property of associativity is very often considered in aggregation function theory and fuzzy logic. In this paper we provide axiomatizations of various classes of preassociative functions, where preassociativity is a generalization of associativity recently introduced by the authors. These axiomatizations are based on existing characterizations of some noteworthy classes of associative operations, such as the class of Aczelian semigroups and the class of t-norms. (C) 2014 Elsevier B.V. All rights reserved.
Keywords:
Aggregation
Associativity
Preassociativity
Functional equation
Axiomatization
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