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Article type: Research Article
Authors: Riaz, Muhammada; * | Davvaz, Bijanb | Firdous, Atiqaa | Fakhar, Atiqaa
Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan | [b] Department of Mathematics, Yazd University, Yazd, Iran
Correspondence: [*] Corresponding author. M. Riaz, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: [email protected].
Abstract: Rough set theory initiated by Pawlak [16] and soft set theory initiated by Molodtsov [15] are strong mathematical tools for handling uncertain and vague information. In this study, we bring out some results of soft rough sets ( SR -sets) and topological structure of soft rough sets. We define SR -open set, SR -closed set, SR -interior, SR -closure, SR -frontier, SR -neighbourhood and SR -limit point. Furthermore, we propose an algorithm to illustrate uncertainties in the multi-criteria group decision making (MCGDM) using SR -sets. We utilize another algorithm for modeling uncertainties in multi-criteria decision making (MCDM) using soft rough topology( SR -topology).
Keywords: Soft set, Rough set, Soft Rough set(SR-set), SR-topology, decision-making
DOI: 10.3233/JIFS-181648
Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3579-3590, 2019
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