Interval type-2 fuzzy sets are generalization of interval-valued fuzzy sets: towards a wider view on their relationship
View/
Date
2015Author
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
MICINN//TIN2011-28488/ES/ 
MINECO//TIN2013-40765-P/ES/
MINECO//TIN2013-40765-P/ES/
Impact
Abstract
In this paper, we will present a wider view on the
relationship between interval-valued fuzzy sets and interval type-
2 fuzzy sets where we will show that interval-valued fuzzy sets
are a particular case of the interval type-2 fuzzy sets. For this
reason, both concepts should be treated in a different way. In
addition, the view presented in this paper will allow a more
general perspective of inte ...
[++]
Subject
Interval-valued fuzzy sets,
Interval type-2 fuzzy sets,
Type-2 fuzzy sets
Publisher
IEEE
Published in
IEEE Transactions on Fuzzy Systems, vol. 23, no. 5, October 2015
Departament
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila
Publisher version
Sponsorship
This work was supported in part by the Spanish Ministry of Science and Technology under Project TIN2011-28488 and Project TIN2013-40765-P.
Appears in Collections
Items in Academica-e are protected by copyright with all rights reserved, unless otherwise noted.
Related items
Showing items related by title, author, creator and subject.
-
A historical account of types of fuzzy sets and their relationships
Bustince Sola, Humberto
; Barrenechea Tartas, Edurne ; Pagola Barrio, Miguel ; Fernández Fernández, Francisco Javier ; Xu, Zeshui; Bedregal, Benjamin ; Montero, Javier; Hagras, Hani; Herrera, Francisco; Baets, Bernard de (IEEE, 2016)
Artículo / Artikulua 
In this work we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. We also analyze the relationships between them and enumerate some of the ... -
Enhancing the efficiency of the interval-valued fuzzy rule-based classifier with tuning and rule selection
Sanz Delgado, José Antonio ; Asmus, Tiago ; Osa Hernández, Borja de la ; Bustince Sola, Humberto (Springer, 2020)
Contribución a congreso / Biltzarrerako ekarpena
Interval-Valued fuzzy rule-based classifier with TUning and Rule Selection, IVTURS, is a state-of-the-art fuzzy classifier. One of the key point of this method is the usage of interval-valued restricted equivalence functions ... -
Admissible orders on fuzzy numbers
Zumelzu, Nicolás; Bedregal, Benjamin ; Mansilla, Edmundo; Bustince Sola, Humberto ; Díaz, Roberto (IEEE, 2022)
Artículo / Artikulua
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, ...
