Abstract
In this paper, we defined the fuzzy operator Φλ in a fuzzy ideal approximation space (X, R, \({\cal I}\)) associated with a fuzzy rough set λ in Šostak sense. Associated with Φλ, there are fuzzy ideal interior and closure operators int λΦ and cl λΦ , respectively. r-fuzzy separation axioms, r-fuzzy connectedness and r-fuzzy compactness in fuzzy ideal approximation spaces are defined and compared with the relative notions in r-fuzzy approximation spaces. There are many differences when studying these notions related with a fuzzy ideal different from studying these notions in usual fuzzy approximation spaces. Lastly, using a fuzzy grill, we will get the same results given during the context.
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Ibedou, I., Abbas, S.E. Fuzzy rough sets in Šostak sense. Appl. Math. J. Chin. Univ. 37, 563–582 (2022). https://doi.org/10.1007/s11766-022-4100-y
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DOI: https://doi.org/10.1007/s11766-022-4100-y