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Single-valued neutrosophic fairly aggregation operators with multi-criteria decision-making

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Abstract

Single-valued neutrosophic sets have the potential to be effective in dealing with complexity issues, particularly those involving three components: truthness, indeterminacy, and falsity. In a single-valued neutrosophic context, this article aims to develop some completely new operational laws and aggregation operators (AOs). In this context, we offer some new neutral or fair operational rules that embrace the notion of proportionate distribution to establish a neutral or fair cure for the truthfulness, indeterminacy, and falsehood of single-valued neutrosophic set. Subsequently, based on the developed operational laws, we create the single-valued neutrosophic fairly weighted average operator and single-valued neutrosophic fairly ordered weighted averaging operator. These emerging aggregation operators are more general than previous single-valued neutrosophic aggregation operators, and also provide reliable and accurate information. In addition, we design a multi-criteria decision-making algorithm using these new single-valued neutrosophic aggregation operators with partial weight information. A real-life application of the proposed algorithm is presented, thus illustrating its step-by-step procedure in detail. Furthermore, the proposed multi-criteria decision-making approach based on single-valued neutrosophic fairly (ordered) weighted averaging operators is compared with some existing approaches to demonstrate its practicality, validity, and superiority.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Muhammad Riaz

  2. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Hafiz Muhammad Athar Farid

  3. Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, 64200, Pakistan

    Shahzaib Ashraf

  4. Department of Mathematics, Yozgat Bozok University, 66100, Yozgat, Turkey

    Hüseyin Kamacı

Authors
  1. Muhammad Riaz
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  2. Hafiz Muhammad Athar Farid
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  3. Shahzaib Ashraf
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  4. Hüseyin Kamacı
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Correspondence to Hafiz Muhammad Athar Farid.

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Communicated by Xiang Wang.

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Riaz, M., Farid, H.M.A., Ashraf, S. et al. Single-valued neutrosophic fairly aggregation operators with multi-criteria decision-making. Comp. Appl. Math. 42, 104 (2023). https://doi.org/10.1007/s40314-023-02233-w

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  • DOI: https://doi.org/10.1007/s40314-023-02233-w

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