The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making
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.
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Cites
Zadeh, L. A. (1996) · Cited by 46,844
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
Interval-Valued Intuitionistic Fuzzy Sets
Atanassov, K. T. (2020) · Studies in Fuzziness and Soft Computing · doi:10.1007/978-3-030-32090-4 · Cited by 1,822
Interval valued fuzzy sets based on normal forms
Turksen, I. B. (1986) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(86)90077-1 · Cited by 1,089
New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions
Dengfeng, L., & Chuntian, C. (2002) · Pattern Recognition Letters · doi:10.1016/s0167-8655(01)00110-6 · Cited by 846
Smarandache, F. (2008) · PhilPapers (PhilPapers Foundation) · Cited by 703
Entropy, distance measure and similarity measure of fuzzy sets and their relations
Xuecheng, L. (1992) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(92)90239-z · Cited by 576
Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Wang, H., Smarandache, F., Zhang, Y.-Q., & Sunderraman, R. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.cs/0505014 · Cited by 444
Ye, J. (2009) · Expert Systems with Applications · doi:10.1016/j.eswa.2008.08.042 · Cited by 368
Self-citationSimilarity measures of intuitionistic fuzzy sets based on Lp metric
Hung, W.-L., & Yang, M.-S. (2007) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2006.10.002 · Cited by 216
Cited by
Liu, P., & Wang, Y. (2014) · Neural Computing and Applications · doi:10.1007/s00521-014-1688-8 · Cited by 306
Metadata
- Authors
- Ye, J.
- Venue
- Journal of Intelligent & Fuzzy Systems
- Publisher
- SAGE Publications
- Published
- 2014-01
- Volume
- 26
- Issue
- 1
- Pages
- 165-172
- ISSN
- 1064-1246 (ISSN-L)
- 1875-8967
- OpenAlex
- W1792561248
- Cited by
- 421
- References
- 11
- FWCI
- 66.95
- Type
- journal article
- Language
- en
- Open access
- closed
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