4.5 Article

A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making

Journal

SYMMETRY-BASEL
Volume 9, Issue 8, Pages -

Publisher

MDPI
DOI: 10.3390/sym9080127

Keywords

single-valued neutrosophic set; multicriteria decision-making; neutrosophic set; Dempster-Shafer evidence theory; correlation coefficient; similarity

Funding

  1. National Natural Science Foundation of China [61671384]
  2. Natural Science Basic Research Plan in Shaanxi Province of China [2016JM6018]
  3. Aviation Science Foundation [20165553036]
  4. Fundamental Research Funds for the Central Universities [3102017OQD020]

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The single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems. The key to using neutrosophic sets in decision-making applications is to make a similarity measure between single-valued neutrosophic sets. In this paper, a new method to measure the similarity between single-valued neutrosophic sets using Dempster-Shafer evidence theory is proposed, and it is applied in multicriteria decision-making. Finally, some examples are given to show the reasonable and effective use of the proposed method.

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