Strong negations and restricted equivalence functions revisited: an analytical and topological approach

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 co...

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Detalles Bibliográficos
Autores: Bustince Sola, Humberto, Campión Arrastia, María Jesús, Miguel Turullols, Laura de, Induráin Eraso, Esteban
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/42761
Acceso en línea:https://hdl.handle.net/2454/42761
Access Level:acceso abierto
Palabra clave:Admissible distances
Fuzzy sets
Implication operators
Real valued functions
Restricted equivalence functions
Strong negations
Descripción
Sumario: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.