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- Title
New similarity and entropy measures of single-valued neutrosophic sets with applications in multi-attribute decision making.
- Authors
Qin, Keyun; Wang, Lu
- Abstract
Information measures play a fundamental role in single-valued neutrosophic set (SVNS) theory. The main purpose of this paper is to study the similarity and entropy measures of SVNS with applications in multi-attribute decision making. We proposed the axiomatic definitions of similarity and entropy for single-valued neutrosophic values (SVNVs) with respect to a new kind of inclusion relation between SVNVs. On the basis of Hamming distance, cosine function and cotangent function, three similarity measures and three entropies for SVNVs are constructed. Then, we extended the definitions and construction methods of similarity and entropy for SVNVs to SVNSs by using some aggregation operators. Finally, by using the new similarity and entropy measures we presented a SVNSs based multi-attribute decision making method. It demonstrated that the new information measures presented in this study are applicable and efficient.
- Subjects
DECISION making; ENTROPY (Information theory); COTANGENT function; COSINE function; HAMMING distance; AGGREGATION operators; NEUTROSOPHIC logic; SIMILARITY (Geometry)
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2020, Vol 24, Issue 21, p16165
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-020-04930-8