Novel Models of Fuzzy Rough Coverings Based on Fuzzy α-Neighborhood and its Application to Decision-Making
MA Jue, Mohammed Atef, Ahmed Mostafa Khalil, Nasruddin Hassan, Gui-Xiu Chen · IEEE Access · 2020
Recently, the concept of a fuzzy$\alpha $- neighborhood operator with reflexivity was established and a fuzzy rough set covering based on a fuzzy$\alpha $- neighborhood operator was defined by Zhanget al.As a generalization of Zhanget al.models, this article aims to introduce the notion of a complementary fuzzy$\alpha $-neighborhood operator with reflexivity. Also, three new kinds of a fuzzy rough set covering based on a fuzzy$\alpha $- neighborhood operator are constructed and some of their properties are discussed. Further, the relationships between these models are studied. Several new kinds of a fuzzy rough set covering based variable precision are put forward and the relevant properties are constructed. Finally, an application to MADM to solve realistic problems is illustrated.