期刊
INFORMATION SCIENCES
卷 255, 期 -, 页码 82-99出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2013.08.024
关键词
Hesitant fuzzy set; Automorphism; Order; Representability; H-representation; Aggregation operator
资金
- Brazilian funding agency CNPq [307681/2012-2, 480832/2011-0]
- Brazilian funding agency FAPERGS [06/2010, 11/1520-1]
- Spanish Ministry of Science [TIN2010-15055]
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 alpha-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. (C) 2013 Elsevier Inc. All rights reserved.
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