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Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms
Authors
Benjamín Bedregal
Humberto Bustince
+3 more
Carlos Lopez-Molina
Renata Reiser
Vicenç Torra
Publication date
18 April 2016
Publisher
'Elsevier BV'
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Abstract
This work studies the aggregation operators on the set of all possible membership degrees of typical hesitant fuzzy sets, which we refer to as H, as well as the action of H-automorphisms which are defined over the set of all finite non-empty subsets of the unitary interval. In order to do so, the partial order ≤H, based on α-normalization, is introduced, leading to a comparison based on selecting the greatest membership degrees of the related fuzzy sets. Additionally, the idea of interval representation is extended to the context of typical hesitant aggregation functions named as the H-representation. As main contribution, we consider the class of finite hesitant triangular norms, studying their properties and analyzing the H-conjugate functions over such operators. © 2013 Elsevier Inc. All rights reserved.Peer Reviewe
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Last time updated on 18/08/2016