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Topological Data Analysis with Spherical Fuzzy Soft AHP-TOPSIS for Environmental Mitigation System

Author

Listed:
  • Muhammad Riaz

    (Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan)

  • Shaista Tanveer

    (Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan)

  • Dragan Pamucar

    (Department of Logistics, Military Academy, University of Defence in Belgrade, 11000 Belgrade, Serbia)

  • Dong-Sheng Qin

    (Business School, Beijing Technology and Business University, Beijing 100048, China)

Abstract

The idea of spherical fuzzy soft set (SFSS) is a new hybrid model of a soft set (SS) and spherical fuzzy set (SFS). An SFSS is a new approach for information analysis and information fusion, and fuzzy modeling. We define the concepts of spherical-fuzzy-soft-set topology (SFSS-topology) and spherical-fuzzy-soft-set separation axioms. Several characteristics of SFSS-topology are investigated and related results are derived. We developed an extended choice value method (CVM) and the AHP-TOPSIS (analytical hierarchy process and technique for the order preference by similarity to ideal solution) for SFSSs, and presented their applications in multiple-criteria group decision making (MCGDM). Moreover, an application of the CVM is presented in a stock market investment problem and another application of the AHP-TOPSIS is presented for an environmental mitigation system. The suggested methods are efficiently applied to investigate MCGDM through case studies.

Suggested Citation

  • Muhammad Riaz & Shaista Tanveer & Dragan Pamucar & Dong-Sheng Qin, 2022. "Topological Data Analysis with Spherical Fuzzy Soft AHP-TOPSIS for Environmental Mitigation System," Mathematics, MDPI, vol. 10(11), pages 1-36, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1826-:d:824345
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    References listed on IDEAS

    as
    1. Mangla, Sachin Kumar & Kumar, Pradeep & Barua, Mukesh Kumar, 2015. "Risk analysis in green supply chain using fuzzy AHP approach: A case study," Resources, Conservation & Recycling, Elsevier, vol. 104(PB), pages 375-390.
    2. Dilbagh Panchal & Dinesh Kumar, 2017. "Maintenance decision-making for power generating unit in thermal power plant using combined fuzzy AHP-TOPSIS approach," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 29(2), pages 248-272.
    3. Turan Arslan, 2009. "A hybrid model of fuzzy and AHP for handling public assessments on transportation projects," Transportation, Springer, vol. 36(1), pages 97-112, January.
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