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Social and Behavioral Sciences Commons™
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Other Social and Behavioral Sciences
Rough set;SR-set;SR-topology;SR-continuity;SR-compactness; decision making
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Full-Text Articles in Social and Behavioral Sciences
On Soft Rough Topology With Multi-Attribute Group Decision Making, Florentin Smarandache, Muhammad Riaz, Atiqa Firdous, Atiqa Fakhar
On Soft Rough Topology With Multi-Attribute Group Decision Making, Florentin Smarandache, Muhammad Riaz, Atiqa Firdous, Atiqa Fakhar
Branch Mathematics and Statistics Faculty and Staff Publications
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.