Measures of embedding for interval-valued fuzzy sets
Fecha
2023Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Identificador del proyecto
AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-87600-P/ES/
AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098623-B-I00/ES/
AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/
Impacto
|
10.1016/j.fss.2023.03.008
Resumen
Interval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership degrees. Considering this epistemic interpretation, we propose a new measure, called IV-embedding, to ...
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Interval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership degrees. Considering this epistemic interpretation, we propose a new measure, called IV-embedding, to compare the precision of two interval-valued fuzzy sets. An axiomatic definition for this concept as well as a construction method are provided. The construction method is based on aggregation operators and the concept of interval embedding, which is also introduced and deeply studied. [--]
Materias
Embedding,
Inclusion,
Interval-valued fuzzy sets
Editor
Elsevier
Publicado en
Fuzzy Sets and Systems, 467, (2023), 108505
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
Versión del editor
Entidades Financiadoras
Authors would like to thank for the support of the Spanish Ministry of Science and Technology project TIN2017-87600-P (I. Díaz and A. Bouchet), the Spanish Ministry of Science and Technology projects PGC2018-098623-B-I00 (S. Montes) and PID2019-108392GBI00(AEI/10.13039/501100011033) (H. Bustince, G. Ochoa, M. Sesma-Sara).