A short primer on the correlation coefficient of vague sets

International Journal of Fuzzy System Applications

Volumn 1, Issue 2, 2011, Pages 55-69

  John Robinson, P ^a   Henry Amirtharaj, E C ^a  

^a BISHOP HEBER COLLEGE   (India)

Author keywords

Correlation of Interval Valued Intuitionistic Fuzzy Sets; Fuzzy Correlation Coefficient; Interval Valued Intuitionistic Fuzzy Sets; Intuitionistic Fuzzy Sets; Vague Sets

Indexed keywords

ALGEBRAIC PROPERTIES; CORRELATION COEFFICIENT; FUZZY CORRELATION COEFFICIENTS; GRAPHICAL REPRESENTATIONS; INTERVAL-VALUED INTUITIONISTIC FUZZY SETS; INTUITIONISTIC FUZZY SETS; SOCIO-ECONOMIC ENVIRONMENTS; VAGUE SETS;

FUZZY SETS;

EID: 84858268764     PISSN: 2156177X     EISSN: 21561761     Source Type: Journal    
DOI: 10.4018/ijfsa.2011040105     Document Type: Article

References (25)

1. Abdullah, L., & Zamri, N. (2010). Ranking of the factors associated with road accidents using correlation analysis and fuzzy TOPSIS. Australian Journal of Basic and Applied Sciences, 4(2), 314-320.
2. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96. doi:10.1016/S0165-0114(86)80034-3
3. Atanassov, K. (1989). More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33, 37-46. doi:10.1016/0165-0114(89)90215-7
4. Atanassov, K. (1994). Operators over interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 64, 159-174. doi:10.1016/0165-0114(94)90331-X
5. Atanassov, K., & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31, 343-349. doi:10.1016/0165-0114(89)90205- 4
6. Bustince, H., & Burillo, P. (1995). Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 74, 237-244. doi:10.1016/0165-0114(94)00343-6
7. Bustince, H., & Burillo, P. (1996). Vague sets are intuitionistic fuzzy sets. Fuzzy Sets and Systems, 79, 403-405. doi:10.1016/0165-0114(95)00154- 9 (Pubitemid 126667425)
8. Chaudhuri, B. B., & Bhattacharya, A. (2001). On correlation between two fuzzy sets. Fuzzy Sets and Systems, 118, 447-456. doi:10.1016/S0165-0114(98) 00347-9 (Pubitemid 33592820)
9. Chiang, D. A., & Lin, N. P. (1999). Correlation of fuzzy sets. Fuzzy Sets and Systems, 102, 221-226. doi:10.1016/S0165-0114(97)00127-9 (Pubitemid 129510832)
10. Dumitrescu, D. (1977). A definition of an informational energy in fuzzy sets theory. Mathematica, 2, 57-59.
11. Gau, W. L., & Buehrer, D. J. (1994). Vague sets. IEEE Transactions on Systems, Man and Cybernetics. Part A, 23, 610-614.
12. Gerstenkorn, T., & Manko, J. (1991). Correlation of intuitionistic fuzzy sets. Fuzzy Sets and Systems, 44, 39-43. doi:10.1016/0165-0114(91)90031-K
13. Kao, C., & Liu, S. T. (2002). Fuzzy measures for correlation coefficient of fuzzy numbers. Fuzzy Sets and Systems, 128, 267-275. doi:10.1016/S0165-0114(01)00199-3 (Pubitemid 34524523)
14. Liang, Z., & Shi, P. (2003). Similarity measures on intuitionistic fuzzy sets. Pattern Recognition Letters, 24, 2687-2693. doi:10.1016/S0167- 8655(03)00111-9 (Pubitemid 37027788)
15. Lin, N. P., Chen, H. J., Chueh, H. E., Hao, W. H., & Chang, C. I. (2007). A fuzzy statistics based method for mining fuzzy correlation rRules . WSEAS Transactions on Mathematics, 6, 852-858.
16. Lin, Z. G., Liu, Y. P., Xu, L. Z., & Shen, Z. Y. (2004). A method for transforming vague sets into fuzzy sets in fuzzy information processing. Computer Engineering and Applications, 9(40), 24-25.
17. Liu, Y., Wang, G., & Feng, L. (2008). A general model for transferring vague set into fuzzy set. Transactions on computational science, 2, 133-144.
18. Park, D. G., Kwun, Y. C., Park, J. H., & Park, I. Y. (2009). Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems. Mathematical and Computer Modelling, 50, 1279-1293. doi:10.1016/j.mcm.2009.06.010
19. Tang, Y. Y., Fan, X., & Zheng, Y. N. (2010). Fuzzy correlation analysis with realization. Proceedings of the Society for Photo-Instrumentation Engineers, 3455, 292-295.
20. Wang, G., & Li, X. (1999). Correlation and Information energy of interval-valued fuzzy numbers. Fuzzy Sets and Systems, 103, 169-175. doi:10.1016/S0165-0114(97)00303-5 (Pubitemid 129501755)
21. Wei, G., W., Wang, H. J., & Lin, R. (2009). Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information. Knowledge and Information Systems, 26(2), 337-349. doi:10.1007/s10115-009-0276-1
22. Yu, C. (1993). Correlation of fuzzy numbers. Fuzzy Sets and Systems, 55, 303-307. doi:10.1016/0165-0114(93)90256-H
23. Yurdakul, M., & Tansel, Y. (2009). Analysis of the benefit generated by using fuzzy numbers in a TOPSIS model developed for machine tool selection problems. Journal of Materials Processing Technology, 209, 310-317. doi:10.1016/j.jmatprotec.2008.02.006
24. Zadeh, L. A. (1973). Outline of new approach to the analysis of complex systems and decision processes interval-valued fuzzy sets. IEEE Transactions on Systems, Man and Cybernetics. Part A, 3, 28-44.
25. Zeng, W., & Li, H. (2007). Correlation coefficient of intuitionistic fuzzy sets. Journal of Industrial Engineering International, 3, 33-40.