Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making

Neural Computing and Applications

Volumn 28, Issue 6, 2017, Pages 1387-1395

  Şahin, Rıdvan ^a   Liu, Peide ^b  

^a BAYBURT UNIVERSITY   (Turkey)

^b SHANDONG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Correlation; Correlation coefficient; Hesitant fuzzy set; Multiple attribute decision making; Single valued neutrosophic hesitant fuzzy set; Single valued neutrosophic set

Indexed keywords

CORRELATION METHODS; DECISION MAKING; MEMBERSHIP FUNCTIONS;

CORRELATION COEFFICIENT; DECISION-MAKING METHOD; HESITANT FUZZY SETS; INTUITIONISTIC FUZZY SETS; MULTIPLE ATTRIBUTE DECISION MAKING; NEUTROSOPHIC SETS; OPTIMAL ALTERNATIVE; WEIGHTED CORRELATION COEFFICIENTS;

FUZZY SETS;

EID: 84953432709     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-015-2163-x     Document Type: Review

References (35)

1. Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
2. Turksen I (1986) Interval valued fuzzy sets based on normal forms. Fuzzy Sets Syst 20:191–210
3. Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
4. Atanassov K, Gargov G (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343–349
5. Dubois D, Prade H (1980) Fuzzy sets and systems: theory and applications, vol 144. Academic Press, New York
6. Yager RR (1986) On the theory of bags. Int. J. General Syst 13:23–37
7. Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539
8. Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision. The 18th IEEE international conference on fuzzy systems. Jeju Island, Korea, pp 1378–1382
9. B. Zhu, Z. Xu and M. Xia (2012) Dual hesitant fuzzy sets. J Appl Math, 1–13
10. F. Smarandache, Neutrosophy, neutrosophic probability, set, and logic, Amer. Res. Press, Rehoboth, USA, 105 p., 1998; http://fs.gallup.unm.edu/eBook-neutrosophics4.pdf (4th edition)
11. Smarandache F (2003) A unifying field in logics: neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability and statistics, third ed., Xiquan, Phoenix
12. Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multisp Multistruct 4:410–413
13. Broumi S, Smarandache F (2013) Correlation coefficient of interval neutrosophic set. Appl Mech Mater 436:511–517
14. Chen SM, Yeh SM, Hsiao PH (1995) A comparison of similarity measures of fuzzy values. Fuzzy Sets Syst 72:79–89
15. Liu P, Wang Y (2014) Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Comput Appl 25:2001–2010
16. Liu P, Shi L (2015) The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making. Neural Comput Appl 26(2):457–471
17. Şahin R (2014) Neutrosophic hierarchical clustering algorithms. Neutrosophic Sets Syst 2:18–24
18. Şahin R, Küçük A (2014) Subsethood measures for single valued neutrosophic sets. J Intell Fuzzy Syst 29:525–530
19. Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix
20. Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394
21. Ye J (2014) Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl Math Model 38:1170–1175
22. Peng JJ, Wang JQ, Wang J, Zhang HY, Chen XH (2015) Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. J. Syst. Sci, Int. doi:10.1080/00207721.2014.994050
23. Majumdar P, Samanta SK (2014) On similarity and entropy of neutrosophic sets. J Intell Fuzzy Syst 26(3):1245–1252
24. Peng JJ, Wang JQ, Wu XH, Wang J, Chen XH (2015) Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems. Int J Comput Intell Syst 8(2):345–363
25. Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. Sci Word J, Article ID 645953
26. Şahin R, Liu P (2015) Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information. Neural Comput Appl. doi:10.1007/s00521-015-1995-8
27. Zhang HY, Wang JQ, Chen XH (2015) An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Neural Comput Appl. doi:10.1007/s00521-015-1882-3
28. Zhang HY, Ji P, Wang JQ, Chen XH (2015) An improved weighted correlation coefficient based on integrated weight for interval neutrosophic sets and its application in multi-criteria decision-making problems. Int J Comput Intell Syst 8(6):1027–1043
29. Tian ZP, Zhang HY, Wang J, Wang JQ, Chen XH (2015) Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets. Int J Syst Sci. doi:10.1080/00207721.2015.1102359
30. Tian ZP, Wang J, Zhang HY, Chen XH, Wang JQ (2015) Simplified neutrosophic linguistic normalized weighted Bonferroni mean operator and its application to multi-criteria decision-making problems. Filomat. doi:10.2298/FIL1508576F
31. Ye J (2014) Multiple-attribute decision-making method under a single-valued neutrosophic hesitant fuzzy environment. J Intell Syst. doi:10.1515/jisys-2014-0001
32. Chen N, Xu Z, Xia M (2013) Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl Math Model 37(4):2197–2211
33. Xu Z, Xia M (2011) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26(5):410–425
34. Xu Z (2006) On correlation measures of intuitionistic fuzzy sets. Intell Data Eng Autom Learn 4224:16–24
35. Wang L, Ni M, Zhu L (2013) Correlation measures of dual hesitant fuzzy sets. J Appl Math. doi:10.1155/2013/593739