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An approach for combining MULTIMOORA method and Muirhead mean operators based on the complex Pythagorean fuzzy uncertain linguistic representation model

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Abstract

The MULTIMOORA is a relatively new multi-attribute decision-making (MADM) technique containing three major parts. It has partial and complete aggregation information. The MULTIMOORA procedure contains three major parts: the full multiplicative shape, ratio system, and reference point. Furthermore, the Muirhead mean (MM) operator can easily capture the interaction between any number of preferences. The main feature of this model is to evaluate the novel theory of complex Pythagorean fuzzy uncertain linguistic (CPFUL) settings and utilize their useful properties (“algebraic laws, score value, and accuracy value”). Additionally, we combined the main theory of MM operators with information taken from the theory of CPFUL to diagnose the major idea of the CPFUL Muirhead mean (CPFULMM), CPFUL weighted Muirhead mean (CPFULWMM), CPFUL dual Muirhead mean (CPFULDMM), and CPFUL dual weighted Muirhead mean (CPFULDWMM) operators. We then evaluated their valuable properties (“idempotency, Boundedness, and monotonicity”). Moreover, to enhance the worth and feasibility of the diagnosed approach, we elaborated the extension of the MULTIMOORA method under CPFUL information. We then diagnosed a procedure of the MADM scenario whilst considering the evaluated operators using the CPFUL set theory. Lastly, to compare the diagnosed information with some old operators, we used numerical examples to illustrate the flexibility and feasibility of the presented information.

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Authors and Affiliations

  1. School of International Business, Qingdao Huanghai University, Shandong Province, Qingdao, 266427, China

    Xiaoming Qi & Peide Liu

  2. Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad, Pakistan

    Zeeshan Ali & Tahir Mahmood

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  1. Xiaoming Qi
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  4. Peide Liu
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Correspondence to Peide Liu.

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Qi, X., Ali, Z., Mahmood, T. et al. An approach for combining MULTIMOORA method and Muirhead mean operators based on the complex Pythagorean fuzzy uncertain linguistic representation model. Appl Intell 53, 17561–17592 (2023). https://doi.org/10.1007/s10489-022-04408-0

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