Bustince Sola, HumbertoCampión Arrastia, María JesúsMiguel Turullols, Laura deInduráin Eraso, Esteban2022-04-122022-04-1220210165-011410.1016/j.fss.2021.10.013https://academica-e.unavarra.es/handle/2454/42761Throughout 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.20 p.application/pdfeng© 2021 The Author(s). Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 InternationalAdmissible distancesFuzzy setsImplication operatorsReal valued functionsRestricted equivalence functionsStrong negationsStrong negations and restricted equivalence functions revisited: an analytical and topological approachinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess