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Open AccessArticle

A Robust q-Rung Orthopair Fuzzy Einstein Prioritized Aggregation Operators with Application towards MCGDM

1
Department of Mathematics, University of the Punjab, Lahore P.O. Box No. 54590, Pakistan
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School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
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Department of Logistics, University of Defence, 11000 Belgrade, Serbia
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Department of Mathematics, Huzhou University, Huzhou 313000, China
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1058; https://doi.org/10.3390/sym12061058
Received: 9 June 2020 / Revised: 20 June 2020 / Accepted: 22 June 2020 / Published: 26 June 2020
(This article belongs to the Special Issue Uncertain Multi-criteria Optimization Problems)
A q-rung orthopair fuzzy set (q-ROFS) provides a significant mechanism for managing symmetrical aspects in real life circumstances. The renowned distinguishing feature of q-ROFS is that the sum of the qth powers to each membership degree (MD) and non-membership degree (NMD) is less than or equal 1, and therefore the comprehensive uncertain space for q-ROF information is broader. Numerous researchers have suggested several aggregation operators based on q-ROFSs. In order to discuss prioritized relationship in the criterion and a smooth approximation of q-ROF information, we introduced q-rung orthopair fuzzy Einstein prioritized weighted averaging (q-ROFEPWA) operator and q-rung orthopair fuzzy Einstein prioritized weighted geometric (q-ROFEPWG) operator. Additionally, we presented a multi-criteria group decision making (MCGDM) technique based on q-rung orthopair fuzzy Einstein prioritized aggregation operators. These operators can evaluate the possible symmetric roles of the criterion that express the real phenomena of the problem. In order to investigate characteristic of suggested operators regarding the symmetry of attributes and their symmetrical roles under q-ROF information, we presented an application of Einstein prioritized aggregation operators. Finally, by comparing it with some other established representative MCGDM models, an illustrative example is provided to check the feasibility, efficiency and supremacy of the proposed technique. View Full-Text
Keywords: q-ROFNs; Einstein operators; prioritized aggregation operators; multi-criteria group decision making q-ROFNs; Einstein operators; prioritized aggregation operators; multi-criteria group decision making
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Riaz, M.; Athar Farid, H.M.; Kalsoom, H.; Pamučar, D.; Chu, Y.-M. A Robust q-Rung Orthopair Fuzzy Einstein Prioritized Aggregation Operators with Application towards MCGDM. Symmetry 2020, 12, 1058.

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