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AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data

Author

Listed:
  • Neha Ghorui

    (Department of Mathematics, Prasanta Chandra Mahalanobis Mahavidyalaya, Kolkata 700108, India)

  • Arijit Ghosh

    (Department of Mathematics, St. Xavier’s College (Autonomous), Kolkata 700016, India)

  • Ebrahem A. Algehyne

    (Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk-71491, Saudi Arabia)

  • Sankar Prasad Mondal

    (Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, India)

  • Apu Kumar Saha

    (Department of Mathematics, National Institute of Technology, Agartala, Jirania 799046, India)

Abstract

In the consumerist world, there is an ever-increasing demand for consumption in urban life. Thus, the demand for shopping malls is growing. For a developer, site selection is an important issue as the optimal selection involves several complex factors and sub-factors for a successful investment venture. Thus, these tangible and intangible factors can be best solved by the Multi Criteria Decision Making (MCDM) models. In this study, optimal site selection has been done out of multiple alternative locations in and around the city of Kolkata, West Bengal, India. The Fuzzy Analytic Hierarchy Process (FAHP) and Fuzzy Technique for Order of Preference by Similarity to Ideal Solution (FTOPSIS) has been applied for shopping mall site selection. The AHP is used to obtain the crispified weight of factors. Imprecise linguistic terms used by the decision-maker are converted to Triangular Fuzzy Numbers (TFNs). This research used integrated sub-factors fuzzy weights using FAHP to FTOPSIS for ranking of the alternatives. Hardly any research is done with the use of sub-factors. In this study, seven factors and seventeen sub-factors are considered, the authors collected data from different locations with the help of municipal authorities and architects. This work further provides useful guidelines for shopping mall selection in different states and countries.

Suggested Citation

  • Neha Ghorui & Arijit Ghosh & Ebrahem A. Algehyne & Sankar Prasad Mondal & Apu Kumar Saha, 2020. "AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data," Mathematics, MDPI, vol. 8(8), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1380-:d:400233
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