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Article

Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem

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Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore 51310, Pakistan
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Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
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Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 61413, Saudi Arabia
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Department of Logistics, Military academy, University of Defence in Belgarde, Pavla Jurisica Sturma 33, 11000 Belgrade, Serbia
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Faculty of Mechanical and Transport Systems, Technische Universität Berlin, 10623 Berlin, Germany
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Military Academy, University of Defence in Belgarde, Pavla Jurisica Sturma 33, 11000 Belgrade, Serbia
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Authors to whom correspondence should be addressed.
Academic Editor: Jaesung Lee
Entropy 2021, 23(6), 688; https://doi.org/10.3390/e23060688
Received: 22 April 2021 / Revised: 19 May 2021 / Accepted: 26 May 2021 / Published: 29 May 2021
(This article belongs to the Special Issue Advances in Information Sciences and Applications)
In this paper, we investigate the multi-criteria decision-making complications under intuitionistic fuzzy hypersoft set (IFHSS) information. The IFHSS is a proper extension of the intuitionistic fuzzy soft set (IFSS) which discusses the parametrization of multi-sub attributes of considered parameters, and accommodates more hesitation comparative to IFSS utilizing the multi sub-attributes of the considered parameters. The main objective of this research is to introduce operational laws for intuitionistic fuzzy hypersoft numbers (IFHSNs). Additionally, based on developed operational laws two aggregation operators (AOs), i.e., intuitionistic fuzzy hypersoft weighted average (IFHSWA) and intuitionistic fuzzy hypersoft weighted geometric (IFHSWG), operators have been presented with their fundamental properties. Furthermore, a decision-making approach has been established utilizing our developed aggregation operators (AOs). Through the established approach, a technique for solving decision-making (DM) complications is proposed to select sustainable suppliers in sustainable supply chain management (SSCM). Moreover, a numerical description is presented to ensure the validity and usability of the proposed technique in the DM process. The practicality, effectivity, and flexibility of the current approach are demonstrated through comparative analysis with the assistance of some prevailing studies. View Full-Text
Keywords: hypersoft set; intuitionistic fuzzy soft set; intuitionistic fuzzy hypersoft set; IFHSWA operator; IFHSWG operator; SSCM hypersoft set; intuitionistic fuzzy soft set; intuitionistic fuzzy hypersoft set; IFHSWA operator; IFHSWG operator; SSCM
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MDPI and ACS Style

Zulqarnain, R.M.; Siddique, I.; Ali, R.; Pamucar, D.; Marinkovic, D.; Bozanic, D. Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem. Entropy 2021, 23, 688. https://doi.org/10.3390/e23060688

AMA Style

Zulqarnain RM, Siddique I, Ali R, Pamucar D, Marinkovic D, Bozanic D. Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem. Entropy. 2021; 23(6):688. https://doi.org/10.3390/e23060688

Chicago/Turabian Style

Zulqarnain, Rana M., Imran Siddique, Rifaqat Ali, Dragan Pamucar, Dragan Marinkovic, and Darko Bozanic. 2021. "Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem" Entropy 23, no. 6: 688. https://doi.org/10.3390/e23060688

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