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Soft Computing

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30.06.2020 | Methodologies and Application

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

verfasst von: Totan Garai, Shyamal Dalapati, Harish Garg, Tapan Kumar Roy

Erschienen in: Soft Computing | Ausgabe 24/2020

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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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Titel: Possibility mean, variance and standard deviation of single-valued neutrosophic numbers and its applications to multi-attribute decision-making problems
verfasst von: Totan Garai
Shyamal Dalapati
Harish Garg
Tapan Kumar Roy
Publikationsdatum: 30.06.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 24/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-05112-2

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