Multi-criteria decision-making method under the complex intuitionistic fuzzy environment

Volume 38, Issue 3, pp 341--370 https://dx.doi.org/10.22436/jmcs.038.03.05

Publication Date: January 07, 2025 Submission Date: October 17, 2024 Revision Date: October 26, 2024 Accteptance Date: November 17, 2024

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Authors

M. Bilal - Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Pakistan. I. Ul Haq - Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Pakistan. N. Kausar - Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, Esenler, 34220, Turkiye. M. I. Khan - School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, P. R. China. - Deparmtent of Mathematics, University of Science and Technology, Bannu, Pakistan. D. Pamucar - Department of Operations Research and Statistics, Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia. - School of Engineering and Technology, Sunway University, Selangor, Malaysia. J. El Maalouf - College of Engineering and Technology, American University of the Middle East, Kuwait.

Abstract

Complex intuitionistic fuzzy sets, which are distinguished by both membership and non-membership values, provide sophisticated decision-making tools by helping decision-makers better handle ambiguity, reluctance, and uncertainty in complex situations. In this paper, we introduce several novel operations on complex intuitionistic fuzzy sets, including a complex intuitionistic fuzzy distance measure, which is utilized to define \(\sigma\)-equalities of complex intuitionistic fuzzy sets. This method is applied to a decision-making scenario that takes place in the real world in order to show its practical value. This scenario illustrates the potential of complex intuitionistic fuzzy sets in tackling difficult and ambiguous choice issues with increased flexibility and accuracy. Finally, in order to demonstrate the efficacy of the suggested strategy, we compare it to other methods that have been taken in the past.

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Keywords

• Complex intuitionistic fuzzy set
• operations on complex intuitionistic fuzzy set
• decision-making matrices
• decision-making method

MSC

•  03B52
•  03E72
•  08A72

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