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

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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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 (2021). https://doi.org/10.1007/s12530-021-09394-1

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Keywords

  • Multi-criteria decision-making (MCDM)
  • Interval neutrosophic sets
  • Parametric scoring function
  • TOPSIS