The aim of this work is providing a characterization in terms of closure systems, for the construction, given a mapping f : A → B from a fuzzy preordered set A into an unstructured set B, of a suitable fuzzy preordering on B for which there exists a mapping g : B → A such that the pair (f, g) constitutes an adjunction (isotone Galois connection). This contribution continues our research line on the construction of adjunctions in which the theory of fuzzy closure systems is used in order to provide a more meaningful framework for the extension to the fuzzy case of previous results.
CITATION STYLE
García-Pardo, F., Cabrera, I. P., Cordero, P., & Ojeda-Aciego, M. (2015). On closure systems and adjunctions between fuzzy preordered sets. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 9113, pp. 114–127). Springer Verlag. https://doi.org/10.1007/978-3-319-19545-2_7
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