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http://dx.doi.org/10.11568/kjm.2021.29.1.81

APPROXIMATION OPERATORS AND FUZZY ROUGH SETS IN CO-RESIDUATED LATTICES  

Oh, Ju-Mok (Department of Mathematics, Gangneung-Wonju National)
Kim, Yong Chan (Department of Mathematics, Gangneung-Wonju National)
Publication Information
Korean Journal of Mathematics / v.29, no.1, 2021 , pp. 81-89 More about this Journal
Abstract
In this paper, we introduce the notions of a distance function, Alexandrov topology and ⊖-upper (⊕-lower) approximation operator based on complete co-residuated lattices. Under various relations, we define (⊕, ⊖)-fuzzy rough set on complete co-residuated lattices. Moreover, we study their properties and give their examples.
Keywords
Distance functions; co-residuated lattices; Alexandrov topologies; approximation operators; (${\oplus}$, ${\ominus}$)-fuzzy rough set;
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