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

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 vent...

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Main Authors: Neha Ghorui, Arijit Ghosh, Ebrahem A. Algehyne, Sankar Prasad Mondal, Apu Kumar Saha
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/8/1380
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author Neha Ghorui
Arijit Ghosh
Ebrahem A. Algehyne
Sankar Prasad Mondal
Apu Kumar Saha
author_facet Neha Ghorui
Arijit Ghosh
Ebrahem A. Algehyne
Sankar Prasad Mondal
Apu Kumar Saha
author_sort Neha Ghorui
collection DOAJ
description 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.
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spelling doaj.art-ad09a35e38874138b6e47e3fc70b11612023-11-20T10:27:09ZengMDPI AGMathematics2227-73902020-08-0188138010.3390/math8081380AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy DataNeha Ghorui0Arijit Ghosh1Ebrahem A. Algehyne2Sankar Prasad Mondal3Apu Kumar Saha4Department of Mathematics, Prasanta Chandra Mahalanobis Mahavidyalaya, Kolkata 700108, IndiaDepartment of Mathematics, St. Xavier’s College (Autonomous), Kolkata 700016, IndiaDepartment of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk-71491, Saudi ArabiaDepartment of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, IndiaDepartment of Mathematics, National Institute of Technology, Agartala, Jirania 799046, IndiaIn 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.https://www.mdpi.com/2227-7390/8/8/1380site selectionshopping mall site selectionlinguistic terms for fuzzy variablefuzzy AHPfuzzy TOPSIS
spellingShingle Neha Ghorui
Arijit Ghosh
Ebrahem A. Algehyne
Sankar Prasad Mondal
Apu Kumar Saha
AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data
Mathematics
site selection
shopping mall site selection
linguistic terms for fuzzy variable
fuzzy AHP
fuzzy TOPSIS
title AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data
title_full AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data
title_fullStr AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data
title_full_unstemmed AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data
title_short AHP-TOPSIS Inspired Shopping Mall Site Selection Problem with Fuzzy Data
title_sort ahp topsis inspired shopping mall site selection problem with fuzzy data
topic site selection
shopping mall site selection
linguistic terms for fuzzy variable
fuzzy AHP
fuzzy TOPSIS
url https://www.mdpi.com/2227-7390/8/8/1380
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AT sankarprasadmondal ahptopsisinspiredshoppingmallsiteselectionproblemwithfuzzydata
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