Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making

Article type: Research Article

Authors: Ye, Jun

Affiliations: Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, Zhejiang Province, P.R. China

Note: [] Corresponding author. Jun Ye, Department of Electrical and Information Engineering, Shaoxing University, 508# Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China. Tel.: +86 575 88327323; E-mail: yejnn@yahoo.com.cn

Abstract: An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In the paper, the Hamming and Euclidean distances between interval neutrosophic sets (INSs) are defined and the similarity measures between INSs are proposed based on the relationship between similarity measures and distances. In the applications of the similarity measures, a multicriteria decision-making method is established in interval neutrosophic setting, in which criterion values with respect to alternatives are evaluated by the form of interval neutrosophic values (INVs) and the criterion weights are known information. We utilize the similarity measures between each alternative and the ideal alternative to rank the alternatives and to determine the best one. Finally, an illustrative example demonstrates the applications of the proposed decision-making method.

Keywords: Interval neutrosophic set, Hamming distance, Euclidean distance, similarity measure, multicriteria decision-making

DOI: 10.3233/IFS-120724

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 1, pp. 165-172, 2014