A historical account of types of fuzzy sets and their relationships
Date
2016Author
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
MINECO//TIN2013-40765-P/ES/ 
MINECO//TIN2012-32482/ES/
MINECO//TIN2012-32482/ES/
Impact
Abstract
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 applications in which
they have been used. ...
[++]
Subject
Type-2 fuzzy set,
Set-valued fuzzy set,
Hesitant fuzzy set,
Interval-valued fuzzy set,
Atanassov intuitionistic fuzzy set
Publisher
IEEE
Published in
IEEE Transactions on Fuzzy Systems, vol. 24, no. 1, February 2017
Departament
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC
Publisher version
Sponsorship
This work was supported by projects TIN2013-40765-P and TIN2012-32482 of the Spanish Ministry of Science and by the Brazilian funding agency CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnologico), under Proc. Nos. 480832/2011-0 and 307681/2012-2
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.
-
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, ... -
A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets
Bustince Sola, Humberto ; Burillo López, Pedro (Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995)
Artículo / Artikulua
In this paper we present a theorem that allows us to construct interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets. We also study the way of recovering intuitionistic fuzzy sets used in the construction ...
