Aggregation operators on type-2 fuzzy sets

Torres Blanc, Carmen and Cubillo Villanueva, Susana 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.

Description

Title: Aggregation operators on type-2 fuzzy sets
Author/s:
  • Torres Blanc, Carmen
  • Cubillo Villanueva, Susana
  • Hernández, Pablo
Item Type: Article
Título de Revista/Publicación: Fuzzy Sets and Systems
Date: October 2017
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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Abstract

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*.

More information

Item ID: 50145
DC Identifier: http://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/S0165011417301343?via%3Dihub
Deposited by: Memoria Investigacion
Deposited on: 16 May 2018 07:53
Last Modified: 16 May 2018 07:53
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