Possibility mean, variance and standard deviation of single-valued neutrosophic numbers and its applications to multi-attribute decision-making problems

Abstract

Single-valued neutrosophic numbers (SVN-numbers) are a special kind of neutrosophic set on the real number set. The concept of a SVN-number is important for quantifying an ill-known quantity and ranking of SVN-number is a very difficult situation in decision-making problems. The main aim of this paper is to present a new ranking methodology of SVN-numbers for solving multi-attribute decision-making problems. Therefore, we firstly define the possibility mean, variance and standard deviation of single-valued neutrosophic numbers. Using the ratio of possibility mean and standard deviation, we have developed the proposed ranking approach and applied to MADM problems. Finally, a numerical example is examined to show the applicability and embodiment of the proposed method.

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Correspondence to Totan Garai.

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Garai, T., Dalapati, S., Garg, H. et al. Possibility mean, variance and standard deviation of single-valued neutrosophic numbers and its applications to multi-attribute decision-making problems. Soft Comput (2020). https://doi.org/10.1007/s00500-020-05112-2

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Keywords

  • Possibility mean
  • Possibility variance
  • Possibility standard deviation
  • Single-valued neutrosophic numbers
  • Multi-attribute decision making