Fuzzy closure relations

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URI: https://hdl.handle.net/10630/24583
DOI: https://doi.org/10.1016/j.fss.2022.05.016.

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2022-05-25

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Elsevier

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E.T.S.I. Informática

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Matemática Aplicada

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Lógica difusa

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The concept of closure operator is key in several branches of mathematics. In this paper, closure operators are extended to relational structures, more specifically to fuzzy relations in the framework of complete fuzzy lattices. The core of the work is the search for a suitable definition of (strong) fuzzy closure relation, that is, a fuzzy relation whose relation with fuzzy closure systems is one-to-one. The study of the properties of fuzzy closure systems and fuzzy relations helps narrow down this exploration until an appropriate definition is settled.

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Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure relations, Fuzzy Sets and Systems, 2022, , ISSN 0165-0114, https://doi.org/10.1016/j.fss.2022.05.016.

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwised noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional