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

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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