Strong negations and restricted equivalence functions revisited: an analytical and topological approach
Fecha
2021Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Identificador del proyecto
Impacto
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10.1016/j.fss.2021.10.013
Resumen
Throughout this paper, our main idea is to analyze the concepts of a strong negation and a restricted equivalence function, that appear in a natural way when dealing with theory and applications of fuzzy sets and fuzzy logic. Here we will use an analytical and topological approach, showing how to construct them in an easy way. In particular, we will also analyze some classical functional equation ...
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Throughout this paper, our main idea is to analyze the concepts of a strong negation and a restricted equivalence function, that appear in a natural way when dealing with theory and applications of fuzzy sets and fuzzy logic. Here we will use an analytical and topological approach, showing how to construct them in an easy way. In particular, we will also analyze some classical functional equation related to those key concepts. [--]
Materias
Admissible distances,
Fuzzy sets,
Implication operators,
Real valued functions,
Restricted equivalence functions,
Strong negations
Editor
Elsevier
Publicado en
Fuzzy Sets and Systems, November 2021
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
Versión del editor
Entidades Financiadoras
This work has been partially supported by the research projects TIN2016-77356-P ( MINECO/AEI-FEDER , UE) and PID2019-108392GB-I00 financed by MCIN/AEI /10.13039/501100011033.