Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. In this paper, we develop the topological structure on soft rough set (SR-set) by using pairwise SR-approximations. We deﬁne SR-open set, SR-closed sets, SR-closure, SR-interior,SR-neighborhood,SR-bases, product topology onSR-sets, continuous mapping, and compactness in soft rough topological space (SRTS). The developments of the theory onSR-set and SR-topology exhibit not only an important theoretical value but also represent signiﬁcant applications ofSR-sets. We applied an algorithm based onSR-set to multi-attribute group decision making (MAGDM) to deal with uncertainty.
rough set;SR-set;SR-topology;SR-continuity;SR-compactness; decision making
Smarandache, Florentin; Muhammad Riaz; Atiqa Firdous; and Atiqa Fakhar.
"On Soft Rough Topology with Multi-Attribute Group Decision Making."
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