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A parametric scoring function and the associated method for interval neutrosophic multi-criteria decision-making

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Abstract

Multi-criteria decision-making (MCDM) is widely discussed in many management areas. Economic, social, cultural, and political affairs in a country, as well as institutions, organizations, and companies often face multi-criteria decision-making problems. Data and information on alternatives and criteria in the multi-criteria decision-making problem may sometimes be mixed with hesitancy, indeterminacy, and uncertainty. Such problems are among the neutrosophic multi-criteria decision-making problems. This paper has developed a method for solving interval neutrosophic multi-criteria decision-making problems. First, a parametric scoring function is developed for interval neutrosophic sets, and it has been shown that this function can be used to evaluate alternatives to an interval neutrosophic multi-criteria decision-making problem. Then, using this parametric scoring function, a TOPSIS based algorithm is proposed to solve interval neutrosophic multi-criteria decision-making problems. The method developed in this paper has relatively beneficial flexibility and can be used to provide suitable solutions for a neutrosophic multi-criteria decision-making problem with different perspectives such as a pessimistic, realistic and optimistic perspective. The proposed algorithm has various capabilities and enables it to be used to solve a wide range of neutrosophic multi-criteria decision-making problems.

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Authors and Affiliations

  1. Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran

    Hassan Pouresmaeil

  2. Department of Mathematics, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

    Esmaile Khorram

  3. Department of Mathematics, Imam Khomeini International University, Qazvin, Iran

    Elyas Shivanian

Authors
  1. Hassan Pouresmaeil
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  2. Esmaile Khorram
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  3. Elyas Shivanian
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Correspondence to Esmaile Khorram.

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Pouresmaeil, H., Khorram, E. & Shivanian, E. A parametric scoring function and the associated method for interval neutrosophic multi-criteria decision-making. Evolving Systems 13, 347–359 (2022). https://doi.org/10.1007/s12530-021-09394-1

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