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Multi-criteria decision support systems based on linguistic intuitionistic cubic fuzzy aggregation operators

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Abstract

This article is an advanced approach to linguistic intuitionistic fuzzy variable through application of cubic set theory. For instance, we establish the idea of the linguistic intuitionistic cubic fuzzy variable (LICFV) theory and define several operations for LICFV; also establish a series of weighted aggregation operators under linguistic intuitionistic cubic fuzzy information, so called linguistic intuitionistic cubic fuzzy weighted averaging (LICFWA) operator, linguistic intuitionistic cubic fuzzy order weighted averaging (LICFOWA) operator, linguistic intuitionistic cubic fuzzy weighted geometric (LICFWG) operator, linguistic intuitionistic cubic fuzzy order weighted geometric (LICFOWG) operator, linguistic intuitionistic cubic fuzzy hybrid averaging (LICFHA) operator, and linguistic intuitionistic cubic fuzzy hybrid geometric (LICFHG) operator; and further study their fundamental properties and showed the relationship among these aggregation operators. In order to demonstrate the feasibility and practicality of the mentioned new technique, we develop multi-criteria decision-making algorithm under linguistic intuitionistic cubic fuzzy environment. Further, the proposed method applied to mobile phone selection, consider numerical application of mobile phone. Comparing the proposed techniques with other pre-existing aggregation operators, we concluded that the proposed technique is better, reliable, and effective.

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Acknowledgements

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: 19-SCI-1-01-0041.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, Pakistan

    Muhammad Qiyas & Saleem Abdullah

  2. School of Mathematics and Information Sciences, Neijiang Normal University, Sichuan Province, P.R. China

    Yi Liu

  3. Deanship of Combined First Year, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia

    Muhammad Naeem

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  1. Muhammad Qiyas
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  4. Muhammad Naeem
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Correspondence to Muhammad Qiyas.

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Qiyas, M., Abdullah, S., Liu, Y. et al. Multi-criteria decision support systems based on linguistic intuitionistic cubic fuzzy aggregation operators. J Ambient Intell Human Comput 12, 8285–8303 (2021). https://doi.org/10.1007/s12652-020-02563-1

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