Abstract
To simplify existing clustering algorithms of simplified neutrosophic sets (NSs) (including single-valued NSs and interval NSs), the paper proposes a netting method for clustering-simplified neutrosophic data based on new association coefficients of simplified NSs. In the clustering algorithms, we firstly present new association coefficients between simplified NSs, including an association coefficient between single-valued NSs and an association coefficient between interval NSs. Then, a netting clustering method is presented based on the association coefficient matrix of simplified NSs to cluster simplified neutrosophic data. Finally, an actual example is provided to illustrate the effectiveness and rationality of the proposed netting clustering method under a simplified neutrosophic environment.
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References
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349
He ZX (1983) Fuzzy mathematics and its application. Tianjin Science and Technology Press, Tianjing
Jalil AM, Hafidi I, Alami L, Khouribga E (2016) Comparative study of clustering algorithms in text mining context. Int J Interact Multimed Artif Intell 3(7):42–45
Şahin R (2014) Neutrosophic hierarchical clustering algorithms. Neutrosophic Sets Syst 2:18–24
Smarandache F (1998) Neutrosophy: neutrosophic probability, set, and logic. American Research Press, Rehoboth
Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix, AZ
Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413
Wang Z, Xu ZS, Liu SS, Tang J (2011) A netting clustering analysis method under intuitionistic fuzzy environment. Appl Soft Comput 11:5558–5564
Ye J (2014) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 2014(26):2459–2466
Ye J (2014b) Single valued neutrosophic minimum spanning tree and its clustering method. J Intell Syst 23(3):311–324
Ye J (2014c) Clustering methods using distance-based similarity measure of single valued neutrosophic sets. J Intell Syst 23(4):379–389
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning, part I. Inf Sci 8:199–249
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Ye, J. A netting method for clustering-simplified neutrosophic information. Soft Comput 21, 7571–7577 (2017). https://doi.org/10.1007/s00500-016-2310-z
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DOI: https://doi.org/10.1007/s00500-016-2310-z