Multi-attribute group decision-making for supplier selection based on Dombi aggregation operators under the system of spherical fuzzy Hamy mean

Article type: Research Article

Authors: Hussain, Abrar^a | Amjad, Alina^a | Ullah, Kifayat^a | Pamucar, Dragan^{b; e; f; *} | Ali, Zeeshan^c | Al-Quran, Ashraf^{d; *}

Affiliations: [a] Department of Mathematics, Riphah International University (Lahore Campus), Lahore, Pakistan | [b] Department of Operations Research and Statistics, Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia | [c] Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad, Pakistan | [d] Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa, Saudi Arabia | [e] College of Engineering, Yuan Ze University, Taiwan | [f] School of Engineering and Technology, Sunway University, Selangor, Malaysia

Correspondence: [*] Corresponding author. Dragan Pamucar. E-mail: [email protected] and Ashraf Al-Quran. E-mail: [email protected].

Abstract: Supplier selection is a very crucial process within a business or commercial enterprise because it depends upon different components like reliability, customer need, services, cost and reputation. A suitable supplier is familiar with developing a relationship between customer needs and business. To serve this purpose, the multiple attribute group decision-making (MAGDM) technique is a well-known and efficient aggregation model used to evaluate flexible optimal options by considering some appropriate criteria or attributes. Experts face some sophisticated challenges during the decision-making process due to uncertain and ambiguous information about human opinions. To address such conditions, we explore the notion of spherical fuzzy sets (SFS) and their reliable operations. Some flexible operational laws of Dombi t-norms are also developed in light of spherical fuzzy (SF) information. Combining the theory of Hamy mean (HM) models and Dombi aggregation tools, some robust strategies are also studied in this research work. The main objectives of this article are to propose some dominant strategies in the presence of SF information including spherical fuzzy Dombi Hamy mean (SFDHM), spherical fuzzy Dombi weighted Hamy mean (SFDWHM), spherical fuzzy Dombi Dual Hamy mean (SFDDHM) and spherical fuzzy Dombi weighted Dual Hamy mean (SFDWDHM) operators. The MAGDM techniques are utilized to evaluate the flexibility of our derived methodologies under considering SF information. An experimental case study is utilized to evaluate a notable supplier enterprise under consideration of our developed methodologies. Finally, a comprehensive overview of our research work is also presented.

Keywords: Spherical fuzzy values, Dombi aggregation tools, Hamy mean and Dual Hamy mean, multi-attribute group decision-making system

DOI: 10.3233/JIFS-234514

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 9639-9662, 2024