A one-parameter family of intuitionistic fuzzy entropy based on cosine function

ICIC Express Letters, Part B: Applications

Volumn 6, Issue 8, 2012, Pages 2105-2111

  Liu, Jing ^a   Sun, Min ^b  

^a ZHEJIANG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b ZAOZHUANG UNIVERSITY   (China)

Author keywords

Hesitancy degree; Intuitionistic fuzzy entropy; Intuitionistic fuzzy set

Indexed keywords

COSINE FUNCTIONS; DECREASING FUNCTIONS; ENTROPY MEASURE; HESITANCY DEGREE; INCREASING FUNCTIONS; INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY SETS; MULTIPLE ATTRIBUTE DECISION MAKING; ONE PARAMETER FAMILY; TRIGONOMETRIC FUNCTIONS;

COSINE TRANSFORMS; FUNCTIONS; FUZZY SETS;

ENTROPY;

EID: 84865291066     PISSN: 21852766     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (12)

1. L. A. Zadeh, Fuzzy sets, Information and Control, vol.8, no.3, pp.338-356, 1965.
2. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol.20, no.1, pp.87-96, 1986.
3. K. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol.31, no.3, pp.343-349, 1989.
4. C. P. Wei and Z. H. Gao, An intuitionistic fuzzy entropy measure based on the trigonometric function, Control and Decision, vol.27, no.4, pp.571-574, 2012.
5. P. Burillo and H. Bustince, Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems, vol.118, no.3, pp.305-316, 2001.
6. E. Szmidt and J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol.118, no.3, pp.467-477, 2001.
7. J. Ye, Two effective measures of intuitionistic fuzzy ertropy, Computing, vol.87, no.1-2, pp.55-62, 2010.
8. Q. S. Zhang, S. Y. Jiang, B. G. Jia and S. H. Luo, Some information measures for interval-valued intuitionistic fuzzy sets, Information Sciences, vol.180, no.24, pp.5130-5145, 2010.
9. A. De Luca and S. Termini, A definition of nonprobabilistic entropy in the setting of fuzzy sets theory, Information and Control, vol.20, no.4, pp.301-312, 1972.
10. P. Burillo and H. Bustince, Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems, vol.78, no.3, pp.305-316, 1996.
11. I. K. Vlachos, Intuitionistic fuzzy information - Applications to pattern recognition, Pattern Recog-nition Letters, vol.28, no.2, pp.197-206, 2007.
12. H. C. Sun and M. Sun, Generalized interval-valued intuitionistic trapezoidal fuzzy correlated weighted averaging operator by means of choquet integrals and its application to multiple attribute decision making, ICIC Express Letters, in press.