On Soft Rough Topology with Multi-Attribute Group Decision Making

Muhammad Riaz, Florentin Smarandache, Atiqa Firdous and Atiqa Fakhar
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Muhammad Riaz: Faculty of Science, Department of Mathematics, University of the Punjab, Lahore Postcode 54590, Pakistan
Florentin Smarandache: Department of Mathematics & Sciences, University of New Mexico, 705 Gurley Ave, Gallup, NM 87301, USA
Atiqa Firdous: Faculty of Science, Department of Mathematics, University of the Punjab, Lahore Postcode 54590, Pakistan
Atiqa Fakhar: Faculty of Science, Department of Mathematics, University of the Punjab, Lahore Postcode 54590, Pakistan

Mathematics, 2019, vol. 7, issue 1, 1-18

Abstract: 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 on SR -sets, continuous mapping, and compactness in soft rough topological space ( SRTS ). The developments of the theory on SR -set and SR -topology exhibit not only an important theoretical value but also represent significant applications of SR -sets. We applied an algorithm based on SR -set to multi-attribute group decision making (MAGDM) to deal with uncertainty.

Keywords: rough set; SR -set; SR -topology; SR -continuity; SR -compactness; decision making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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