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Information measures for generalized hesitant fuzzy information
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 Title & Authors
Information measures for generalized hesitant fuzzy information
Park, Jin Han; Kwark, Hee Eun; Kwun, Young Chel;
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 Abstract
In this paper, we present the entropy and similarity measure for generalized hesitant fuzzy information, and discuss their desirable properties. Some measure formulas are developed, and the relationships among them are investigated. We show that the similarity measure and entropy for generalized hesitant fuzzy information can be transformed by each other based on their axiomatic definitions. Furthermore, an approach of multiple attribute decision making problems where attribute weights are unknown and the evaluation values of attributes for each alternative are given in the form of GHFEs is investigated.
 Keywords
Generalized hesitant fuzzy sets;Entropy;Similarity measure;
 Language
English
 Cited by
 References
1.
G. Qjan, H. Wang, X.Q. Feng, "Generalized hesitant fuzzy sets and their application in decision support system," Knowledge-Based Systems, vol. 37, pp. 357-365, 2013. crossref(new window)

2.
Z.S. Xu and M.M. Xia, "Hesitant fuzzy entropy and cross-entropy and their use in multiattribute decision-making," International Journal of Intelligent Systems, vol. 27, pp. 799-822, 2012. crossref(new window)

3.
Z.S. Xu and R.R. Yager, "Some geometric aggregation operators based on intuitionistic fuzzy sets," International Journal of General Systems, vol. 35, pp. 417-433, 2006. crossref(new window)

4.
K. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol.20, pp. 87-96, 1986. crossref(new window)

5.
K. Atanassov and G. Gargov, "Interval-valued intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 31, pp. 343-349, 1989. crossref(new window)

6.
P. Burillo and H. Bustince, "Entropy on ituitionistic fuzzy sets and on interval-valued fuzzy sets," Fuzzy Sets and Systems, vol. 78, pp. 305-316, 1996. crossref(new window)

7.
A. De Luca and S. Termini, "A definition of nonprobabilistic entropy in the setting of fuzzy sets theory," Information and Control, vol. 20, pp. 301-312, 1972. crossref(new window)

8.
W.L. Hung and M.S. Yang, "On the J-divergence og intuitionistic fuzzy sets with its application to pattern recognition," Information Sciences, vol. 178, pp. 1641-1650, 2008. crossref(new window)

9.
J.Q. Li, G.N. Deng, H.X. Li and W.Y. Zeng, "The relationship between similarity measure and entropy of intuitionisticfuzzy sets," Information Sciences, vol. 188, pp. 314-321, 2012. crossref(new window)

10.
J.J. Mao, D.B. Yao and C.C. Wang, "A novel cross-entropy and entropy measures of IFSs and their applications," Knowledge-Based Systems, vol. 48, pp. 37-45, 2013. crossref(new window)

11.
V. Torra, "Hesitant fuzzy sets," International Journal of Intelligent Systems, vol. 25, pp. 529-539, 2010.

12.
I.K. Vlachos and Sergiadis, "Intuitionistic fuzzy information application to pattern recognition," Pattern Recognition Letter, vol. 28, pp. 197-206, 2007. crossref(new window)

13.
M.M. Xia, Z.S. Xu, "Hesitant fuzzy information aggregation in decision making," International Journal of Approximate Reasoning, vol. 52, pp. 395-407, 2011. crossref(new window)

14.
M.M. Xia and Z.S. Xu, "Entropy/cross entropy based group decision making under intuitionistic fuzzy environment," Information Fusion, vol. 13, pp. 31-47, 2012. crossref(new window)

15.
Z.S. Xu, "Intuitionistic fuzzy aggregation operators," IEEE Transactions on Fuzzy Systems, vol. 15, pp. 1179-1187, 2007. crossref(new window)

16.
J. Ye, "Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives," Expert Systems with Applications, vol. 38, pp. 6179-6183, 2011. crossref(new window)

17.
W.Y. Zeng and H.X. Li, "Relationship between simialrity measure and entropy of interval-valued fuzzy sets," Fuzzy Sets and Systems, vol. 157, pp. 1477-1484, 2006. crossref(new window)

18.
Q.S. Zhang and S.Y. Jiang, "Relationships between entropy and simialrity measure of interval-valued intuitionistic fuzzy sets," International Journal of Intelligent Systems, vol. 25, pp. 1121-1140, 2010.