Publication: Strong negations and restricted equivalence functions revisited: an analytical and topological approach
Date
2021
Director
Publisher
Elsevier
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa
Project identifier
ES/1PE/TIN2016-77356-P
AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/
AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/
Abstract
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.
Description
Keywords
Admissible distances, Fuzzy sets, Implication operators, Real valued functions, Restricted equivalence functions, Strong negations
Department
Estadística, Informática y Matemáticas / Estatistika, Informatika eta Matematika
Faculty/School
Degree
Doctorate program
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