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

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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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Authors and Affiliations

  1. Department of Mathematics, Shyamsundar College, Shyamsundar, Purba Bardhaman, West Bengal, 713424, India

    Totan Garai

  2. Department of Mathematics, Indian Institute of Engineering Science and Technology Shibpur, Howrah, West Bengal, 711103, India

    Shyamal Dalapati & Tapan Kumar Roy

  3. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India

    Harish Garg

Authors
  1. Totan Garai
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  2. Shyamal Dalapati
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  3. Harish Garg
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  4. Tapan Kumar Roy
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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 24, 18795–18809 (2020). https://doi.org/10.1007/s00500-020-05112-2

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