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Article

Supplier Selection through Multicriteria Decision-Making Algorithmic Approach Based on Rough Approximation of Fuzzy Hypersoft Sets for Construction Project

1
Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan
2
College of Computer Science and Information Technology, University of Anbar, Anbar 31001, Iraq
3
Department of Civil Engineering, Imperial College London, London SW7 2BX, UK
4
College of Arts, Media, and Technology, Chiang Mai University, Chiang Mai 50200, Thailand
*
Author to whom correspondence should be addressed.
Academic Editors: S. A. Edalatpanah and Jurgita Antucheviciene
Buildings 2022, 12(7), 940; https://doi.org/10.3390/buildings12070940
Received: 13 May 2022 / Revised: 29 June 2022 / Accepted: 30 June 2022 / Published: 2 July 2022
The suppliers play a significant role in supply chain management. In supplier selection, factors like market-based exposure, community-based reputation, trust-based status, etc., must be considered, along with the opinions of hired experts. These factors are usually termed as rough information. Most of the literature has disregarded such factors, which may lead to a biased selection. In this study, linguistic variables in terms of triangular fuzzy numbers (TrFn) are used to manage such kind of rough information, then the rough approximations of the fuzzy hypersoft set (FHS-set) are characterized which are capable of handling such informational uncertainties. The FHS-set is more flexible as well as consistent as it tackles the limitation of fuzzy soft sets regarding categorizing parameters into their related sub-classes having their sub-parametric values. Based on these rough approximations, an algorithm is proposed for the optimal selection of suppliers by managing experts’ opinions and rough information collectively in the form of TrFn-based linguistic variables. To have a discrete decision, a signed distance method is employed to transform the TrFn-based opinions of experts into fuzzy grades. The proposed algorithm is corroborated with the help of a multi-criteria decision-making application to choose the best supplier for real estate builders. The beneficial facets of the put forward study are appraised through its structural comparison with few existing related approaches. The presented approach is consistent as it is capable to manage rough information and expert’s opinions about suppliers collectively by using rough approximations of FHS-set. View Full-Text
Keywords: linguistic variable; rough approximation; triangular fuzzy number; signed distance method; fuzzy hypersoft set linguistic variable; rough approximation; triangular fuzzy number; signed distance method; fuzzy hypersoft set
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MDPI and ACS Style

Rahman, A.U.; Saeed, M.; Mohammed, M.A.; Majumdar, A.; Thinnukool, O. Supplier Selection through Multicriteria Decision-Making Algorithmic Approach Based on Rough Approximation of Fuzzy Hypersoft Sets for Construction Project. Buildings 2022, 12, 940. https://doi.org/10.3390/buildings12070940

AMA Style

Rahman AU, Saeed M, Mohammed MA, Majumdar A, Thinnukool O. Supplier Selection through Multicriteria Decision-Making Algorithmic Approach Based on Rough Approximation of Fuzzy Hypersoft Sets for Construction Project. Buildings. 2022; 12(7):940. https://doi.org/10.3390/buildings12070940

Chicago/Turabian Style

Rahman, Atiqe Ur, Muhammad Saeed, Mazin Abed Mohammed, Arnab Majumdar, and Orawit Thinnukool. 2022. "Supplier Selection through Multicriteria Decision-Making Algorithmic Approach Based on Rough Approximation of Fuzzy Hypersoft Sets for Construction Project" Buildings 12, no. 7: 940. https://doi.org/10.3390/buildings12070940

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