Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2019
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 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.
Publisher
MDPI
Publication Title
Mathematics 2019
Volume
7
Issue
67
DOI
doi:10.3390/math7010067
Language (ISO)
English
Keywords
rough set;SR-set;SR-topology;SR-continuity;SR-compactness; decision making
Recommended Citation
Smarandache, Florentin; Muhammad Riaz; Atiqa Firdous; and Atiqa Fakhar.
"On Soft Rough Topology with Multi-Attribute Group Decision Making."
Mathematics 2019
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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