Preassociative aggregation functions
Rings and Algebras
2015-03-16 v2 Group Theory
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 Acz\'elian semigroups and the class of t-norms.
Cite
@article{arxiv.1405.3606,
title = {Preassociative aggregation functions},
author = {Jean-Luc Marichal and Bruno Teheux},
journal= {arXiv preprint arXiv:1405.3606},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1309.7303