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arXiv · 1405.3606

Preassociative aggregation functions

Jean-Luc Marichal·Bruno Teheux
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Abstract

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 Aczélian semigroups and the class of t-norms.

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Jean-Luc Marichal, Bruno Teheux. 2015-03-13. Preassociative aggregation functions. https://doi.org/10.1016/j.fss.2014.11.010

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