Possibility mean and variance based method for multi-attribute decision making with triangular intuitionistic fuzzy numbers

Journal of Intelligent and Fuzzy Systems

Volumn 24, Issue 4, 2013, Pages 743-754

  Wan, Shu Ping ^a   Li, Deng Feng ^b  

^a JIANGXI UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b FUZHOU UNIVERSITY   (China)

Author keywords

Multi attribute decision making; possibility mean; possibility variance; triangular intuitionistic fuzzy number

Indexed keywords

BI-OBJECTIVE PROGRAMMING; DECISION-MAKING PROBLEM; LINEAR PROGRAMMING MODELS; MULTI ATTRIBUTE DECISION MAKING; POSSIBILITY MEAN; POSSIBILITY VARIANCE; TRIANGULAR INTUITIONISTIC FUZZY NUMBERS; VARIABLE TRANSFORMATION;

FUZZY RULES; STATISTICS;

DECISION MAKING;

EID: 84876263287     PISSN: 10641246     EISSN: 18758967     Source Type: Journal    
DOI: 10.3233/IFS-2012-0594     Document Type: Article

References (34)

1. K. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31(3) (1989), 343-349.
2. K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1) (1986), 87-96.
3. T. Beaubouef and F.E. Petry, Uncertainty modeling for database design using intuitionistic and rough set theory, Journal of Intelligent & Fuzzy Systems 20 (2009), 105-117.
4. C. Christer and F. Robert, On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems 122(2) (2001), 315-326.
5. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
6. V. Lakshmana Gomathi Nayagam, S. Muralikrishnan and G. Sivaraman, Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets, Expert Systems with Applications 38 (2011), 1464-1467.
7. D.-F. Li,Anote on using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly, Microelectronics Reliability 48(10) (2008), 1741.
8. D.-F. Li, A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems, Computers and Mathematics with Applications 60 (2010), 1557-1570.
9. D.-F. Li, Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattribute decision making with incomplete preference information, Applied Soft Computing 11 (2011), 3402-3418.
10. D.-F. Li, Extension of the LINMAP for multiattribute decision making under Atanassov's intuitionistic fuzzy environment, Fuzzy Optimization and Decision Making 7(1) (2008), 17-34.
11. D.-F. Li, Multiattribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets, Expert Systems with Applications 37 (2010), 8673-8678.
12. D.-F. Li, TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems 18(2) (2010), 299-231.
13. D.-F. Li, G.H. Chen and Z.G. Huang, Linear programming method for multiattribute group decision making using IF sets, Information Sciences 180(9) (2010), 1591-1609.
14. D.-F. Li, J.X. Nan and M.J. Zhang, A ranking method of triangular intuitionistic fuzzy numbers and application to decision making, International Journal of Computational Intelligence Systems 3(5) (2010), 522-530.
15. D.-F. Li, L.L. Wang and G.H. Chen, Group decision making methodology based on the Atanassov's intuitionistic fuzzy set generalized OWA operator, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18(6) (2010), 801-817.
16. J.X. Nan, D.-F. Li and M.J. Zhang, A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy Numbers, International Journal of Computational Intelligence Systems 3(3) (2010), 280-289.
17. M.H. Shu, C.H. Cheng and J.R. Chang, Using intuitionistic fuzzy sets for fault tree analysis on printed circuit board assembly, Microelectronics Reliability 46(12) (2006), 2139-2148.
18. C.Q. Tan, Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making, Soft Computing 15 (2011), 867-876.
19. C.Q. Tan and X.H. Chen, Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making, Expert Systems with Applications 37 (2010), 149-157.
20. J.Q.Wang and Z. Zhang, Programming method of multicriteria decision making based on intuitionistic fuzzy number with incomplete certain information, Control and Decision 23(10) (2008), 1145-1148.
21. X.F. Wang, Fuzzy number intuitionistic fuzzy arithmetic aggregation operators, International Journal of Fuzzy Systems 20 (2008), 104-111.
22. X.F.Wang, Fuzzy number intuitionistic fuzzy geometric aggregation operators and their application to decision making, Control and Decision 23 (2008), 607-612.
23. Z.J. Wang, W. Li Kevin and W.Z. Wang, An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights, Information Sciences 179(17) (2009), 3026-3040.
24. G.W. Wei, Induced fuzzy number intuitionistic fuzzy ordered weighted averaging (I-FIFOWA) operator and its application to group decision making, Chinese Journal of Management 7 (2010), 903-908.
25. G.W. Wei, Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making, Applied Soft Computing 10(2) (2010), 423-431.
26. G.W. Wei, X.F. Zhao and R. Lin, Some induced aggregating operators with fuzzy number intuitionistic fuzzy information and their application to group decision making, International Journal of Computational Intelligence Systems 3 (2010), 84-95.
27. X.F. Wang, Fuzzy number intuitionistic fuzzy set, Fuzzy System and Mathematics 21 (2007), 88-91.
28. Z.S. Xu, A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making, Group Decision and Negotiation 19(1) (2010), 57-76.
29. Z.S. Xu, Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation, Knowledge-Based Systems 24 (2011), 749-760.
30. Z.S.Xuand M.M. Xia, Induced generalized intuitionistic fuzzy operators, Knowledge-Based Systems 24 (2011), 197-209.
31. 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 38(5) (2011), 6179-6183.
32. L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1(1) (1978), 3-28.
33. L.A. Zadeh, Fuzzy sets, Information and Control 18 (1965), 338-353.
34. S.Z. Zeng and W.H. Su, Intuitionistic fuzzy ordered weighted distance operator, Knowledge-Based Systems 24 (2011), 1224-1232.