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On Soft Rough Topology with Multi-Attribute Group Decision Making

Author

Listed:
  • 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)

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.

Suggested Citation

  • Muhammad Riaz & Florentin Smarandache & Atiqa Firdous & Atiqa Fakhar, 2019. "On Soft Rough Topology with Multi-Attribute Group Decision Making," Mathematics, MDPI, vol. 7(1), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:67-:d:196157
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    Citations

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    Cited by:

    1. Wenfeng Huang & Xiangyun Liao & Lei Zhu & Mingqiang Wei & Qiong Wang, 2022. "Single-Image Super-Resolution Neural Network via Hybrid Multi-Scale Features," Mathematics, MDPI, vol. 10(4), pages 1-26, February.
    2. Sagvan Y. Musa & Baravan A. Asaad, 2021. "Bipolar Hypersoft Sets," Mathematics, MDPI, vol. 9(15), pages 1-15, August.

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