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Torres Blanc, Carmen ORCID: https://orcid.org/0000-0002-0340-9931, Cubillo Villanueva, Susana
ORCID: https://orcid.org/0000-0002-6473-6039 and Hernández, Pablo
(2017).
Aggregation operators on type-2 fuzzy sets.
"Fuzzy Sets and Systems", v. 324
;
pp. 74-90.
ISSN 0165-0114.
https://doi.org/10.1016/j.fss.2017.03.015.
Title: | Aggregation operators on type-2 fuzzy sets |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Fuzzy Sets and Systems |
Date: | October 2017 |
ISSN: | 0165-0114 |
Volume: | 324 |
Subjects: | |
Freetext Keywords: | Type-2 fuzzy sets; Functions from [0,1] to[0,1]; Normal and convex functions; Aggregation operator |
Faculty: | E.T.S. de Ingenieros Informáticos (UPM) |
Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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Cubillo et al. in 2015 established the axioms that an operation must fulfill to be an aggregation operator on a bounded poset (partially ordered set), in particular onM (set of fuzzy membership degrees of T2FSs, which are the functions from [0,1] to [0,1]). Previously, Takáˇc in 2014 had applied Zadeh's extension principle to obtain a set of operators on M which are, under some conditions, aggregation operators on L*, the set of strongly normal and convex functions of M. In this paper, we introduce a more general set of operators on M than were given by Takáˇc, and we study, among other properties, the conditions required to satisfy the axioms of the aggregation operator on L (set of normal and convex functions on M), which includes the set L*.
Item ID: | 50145 |
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DC Identifier: | https://oa.upm.es/50145/ |
OAI Identifier: | oai:oa.upm.es:50145 |
DOI: | 10.1016/j.fss.2017.03.015 |
Official URL: | https://www.sciencedirect.com/science/article/pii/... |
Deposited by: | Memoria Investigacion |
Deposited on: | 16 May 2018 07:53 |
Last Modified: | 13 Dec 2022 13:32 |