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Article type: Research Article
Authors: Liu, Peidea; * | Akram, Muhammadb | Sattar, Aqsab
Affiliations: [a] School of Management Science and Engineering, Shandong University, of Finance and Economics, Jinan Shandong, China | [b] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Correspondence: [*] Corresponding author. Peide Liu, School of Management Science and Engineering, Shandong University,of Finance and Economics, Jinan Shandong 250014, China. E-mail: peide.liu@gmail.com.
Abstract: The complex q-rung orthopair fuzzy set (Cq-ROFS), an efficient generalization of complex intuitionistic fuzzy set (CIFS) and complex Pythagorean fuzzy set (CPFS), is potent tool to handle the two-dimensional information and has larger ability to translate the more uncertainty of human judgment then CPFS as it relaxes the constrains of CPFS and thus the space of allowable orthopair increases. To solve the multi-criteria decision making (MCDM) problem by considering that criteria are at the same priority level may affect the results because in realistic situations the priority level of criteria is different. In this manuscript, we propose some useful prioritized AOs under Cq-ROF environment by considering the prioritization among attributes. We develop two prioritized AOs, namely complex q-rung orthropair fuzzy prioritized weighted averaging (C-qROFPWA) operator and complex q-rung orthropair fuzzy prioritized weighted geometric (Cq-ROFPWG) operator. We also consider their desirable properties and two special cases with their detailed proofs. Moreover, we investigate a new technique to solve the MCDM problem by initiating an algorithm along with flowchart on the bases of proposed operators. Further, we solve a practical example to reveal the importance of proposed AOs. Finally, we apply the existing operators on the same data to compare our computed result to check the superiority and validity of our proposed operators.
Keywords: Complex q-rung orthopair fuzzy set, prioritized weighted averaging operator, prioritized weighted geometric operator, decision making
DOI: 10.3233/JIFS-200789
Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7469-7493, 2020
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