A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making

Journal of Intelligent and Fuzzy Systems

Volumn 25, Issue 3, 2013, Pages 567-576

  Wang, Jian Qiang ^a   Li, Kang Jian ^a   Zhang, Hong Yu ^a   Chen, Xiao Hong ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Intuitionistic fuzzy multi criteria decision making; intuitionistic normal fuzzy numbers; relative entropy; score function

Indexed keywords

ARITHMETIC AVERAGING; FUZZY MULTI-CRITERIA DECISION-MAKING; FUZZY MULTIPLE CRITERIA DECISION MAKING; INTUITIONISTIC FUZZY MULTI CRITERIA DECISION MAKINGS; INTUITIONISTIC FUZZY SETS; NORMAL FUZZY NUMBER; RELATIVE ENTROPY; SCORE FUNCTION;

ENTROPY; FUZZY RULES;

DECISION MAKING;

EID: 84880519660     PISSN: 10641246     EISSN: 18758967     Source Type: Journal    
DOI: 10.3233/IFS-120662     Document Type: Article

References (26)

1. K.T. Anassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96.
2. K.T. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (1989), 343-349.
3. J.O. Berger, Statistical decision theory, Springer Verlag, New York, 1980, pp. 378.
4. D.F. Chen, L. Xu and G.N. Long, Two improved methods of multi-attribute decision making based on intuitionistic fuzzy sets, Journal of Air Force Engineering University (Natural Science Edition) 9 (2008), 76-79. (In Chinese)
5. S.M. Chen and J.M. Tan, Handling multi-criteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems 67 (1994), 163-172.
6. D.H. Hong and C.H. Choi, Multi-criteria fuzzy decisionmaking problems based on vague set theory, Fuzzy Sets and Systems 114 (2000), 103-113.
7. K.C. Hung, G.K. Yang, P. Chu and W.T. Jin, An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets, Computer-Aided Design 40 (2008), 447-454.
8. D.Y. Li and C.Y. Liu, Study on the universality of the normal cloud model, Engineering Science 6 (2004), 28-34.
9. F. Li and Y. Rao, Weighted methods of multi-criteria fuzzy decision making based on vague sets, Computer Science 5 (2001), 103-109. (In Chinese)
10. F. Li, A. Ru and L.J. Can, Methods of multi-criteria fuzzy decision making based on vague set, Journal of HuaZhong University of Science and Technology 29 (2001), 1-3. (In Chinese)
11. L.G. Lin, L.Z. Xu and J.Y. Wang, Multi-criteria fusion decision-making method based on vague set, Computer Engineering 31 (2005), 11-13. (In Chinese)
12. L. Lin, X.H. Yuan and Z.Q. Xia, Multi-criteria fuzzy decisionmaking methods based on intuitionistic fuzzy sets, Journal of Computer and System Sciences 73 (2007), 84-88.
13. F. Liu and X.H. Yuan, Fuzzy number intuitionistic fuzzy set, Fuzzy Systems and Mathematics 21 (2007), 88-91. (In Chinese)
14. H.W. Liu, Vague set methods of multi-criteria fuzzy decision making, Systems Engineering-Theory & Practice 24 (2004), 103-109. (In Chinese)
15. H.W. Liu and G.J.Wang, Multi-criteria decision-making methods based on intuitionistic fuzzy sets, European Journal of Operational Research 179 (2007), 220-233.
16. M.H. Shu, C.H. Cheng and R.J. Chang, Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly, Microelectronics Reliability 46 (2006), 2139-2148.
17. J.Q.Wang, Overview on fuzzy multi-criteria decision-making approach, Control and Decision 23 (2008), 601-606, 612. (In Chinese)
18. J.Q.Wang and H.B. Li, Multi-criteria decision-making method based on aggregation operators for intuitionistic linguistic fuzzy numbers, Control and Decision 25 (2010), 1571-1574, 1584. (In Chinese)
19. J.Q. Wang and J.J. Li, Multi-criteria fuzzy decision-making method based on cross entropy and score functions, Expert Systems with Applications 38 (2011), 1032-1038.
20. J.Q. Wang, K.J. Li and H.Y. Zhang, Multi-criteria decision making method based on induced intuitionistic normal fuzzy related aggregation operators, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20 (4) (2012), 559-578.
21. J.Q. Wang, L.Y. Meng and X.H. Cheng, Multi-criteria decision-making method based on vague sets and risk attitudes of decision makers, Systems Engineering and Electronics 2 (2009), 361-365. (In Chinese)
22. J.Wang, J. Zhang and S.Y. Liu, A new score function for fuzzy MCDM based on vague set theory, International Journal of Computational Cognition 4 (2006), 44-48.
23. M.S. Yang and H.H. Ko, On a class of fuzzy c-numbers clustering procedures for fuzzy data, Fuzzy Sets and Systems 84 (1996), 49-60.
24. J. Ye, Improved method of multi-criteria fuzzy decisionmaking based on vague sets, Computer Aided Design 39 (2007), 164-169.
25. J. Ye, Multi-criteria fuzzy decision-making method using entropy weights-based correlation coefficients of intervalvalued intuitionistic fuzzy sets, Applied Mathematical Modelling 34 (2010), 3864-3870.
26. Z. Zhou and Q.Z. Wu, Multicriteria fuzzy decision making method based on vague set, Mini-Micro Systems 26 (2005), 1350-1353. (In Chinese)