An interval-valued intuitionistic fuzzy multiattribute group decision making framework with incomplete preference over alternatives

Expert Systems with Applications

Volumn 39, Issue 18, 2012, Pages 13509-13516

  Wang, Zhou Jing ^a,b   Li, Kevin W ^c  

^a ZHEJIANG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b BEIHANG UNIVERSITY   (China)

^c UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Group consistency and inconsistency; Interval valued intuitionistic fuzzy numbers (IVIFNs); Linear programming; Multi attribute group decision making (MAGDM)

Indexed keywords

ATTRIBUTE WEIGHT; CRISP NUMBERS; DECISION MAKERS; EVALUATION PROCESS; GROUP CONSISTENCY AND INCONSISTENCY; IDEAL SOLUTIONS; ILLUSTRATIVE EXAMPLES; INCONSISTENCY INDEX; INTERVAL-VALUED; INTERVAL-VALUED INTUITIONISTIC FUZZY NUMBER; INTUITIONISTIC FUZZY; LINEAR PROGRAMMING MODELS; LINGUISTIC VARIABLE; MULTI-ATTRIBUTE GROUP DECISION MAKING; PAIR-WISE COMPARISON; PREFERENCE RELATION; QUANTITATIVE ATTRIBUTES;

COMPUTER PROGRAMMING; FUZZY RULES; LINEAR PROGRAMMING;

DECISION MAKING;

EID: 84865218341     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2012.07.007     Document Type: Article

References (37)

1. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1986 87 96
2. K. Atanassov, and G. Gargov Interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems 31 1989 343 349
3. H. Bustince, and P. Burillo Correlation of interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems 74 1995 237 244
4. T.Y. Chen, H.P. Wang, and Y.Y. Lu A multicriteria group decision-making approach based on interval-valued intuitionistic fuzzy sets: a comparative perspective Expert Systems with Applications 38 2011 7647 7658
5. G. Deschrijver Arithmetic operators in interval-valued fuzzy set theory Information Sciences 177 2007 2906 2924 (Pubitemid 46660010)
6. G. Deschrijver A representation of t-norms in interval-valued L-fuzzy set theory Fuzzy Sets and Systems 159 2008 1597 1618 (Pubitemid 351672311)
7. G. Deschrijver, and E.E. Kerre On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision Information Sciences 177 2007 1860 1866 (Pubitemid 46176955)
8. D.H. Hong A note on correlation of interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems 95 1998 113 117 (Pubitemid 128654818)
9. W.L. Hung, and J.W. Wu Correlation of intuitionistic fuzzy sets by centroid method Information Sciences 144 2002 219 225
10. C.L. Hwang, and K. Yoon Multiple attribute decision making: methods and applications 1981 Springer Berlin, Heideberg, New York
11. D.F. Li Multiattribute decision making models and methods using intuitionistic fuzzy sets Journal of Computer and System Sciences 70 2005 73 85
12. D.F. Li Linear programming method for MADM with interval-valued intuitionistic fuzzy sets Expert Systems with Applications 37 2010 5939 5945
13. D.F. Li TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets IEEE Transactions on Fuzzy Systems 18 2010 299 311
14. 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
15. D.F. Li, G.H. Chen, and Z.G. Huang Linear programming method for multiattribute group decision making using IF sets Information Sciences 180 2010 1591 1609
16. D.F. Li, and J.B. Yang Fuzzy linear programming technique for multiattribute group decision making in fuzzy environments Information Sciences 158 2004 263 275
17. K.W. Li, and Z. Wang Notes on "Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment" Journal of Systems Science and Systems Engineering 19 2010 504 508
18. D.G. Park, Y.C. Kwun, J.H. Park, and I.Y. Park Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems Mathematical and Computer Modelling 50 2009 1279 1293
19. J.H. Park, I.Y. Park, Y.C. Kwun, and X. Tan Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment Applied Mathematical Modelling 35 2011 2544 2556
20. V. Srinivasan, and A.D. Shocker Linear programming techniques for multidimensional analysis of preference Psychometrica 38 1973 337 342
21. Z. Wang, K.W. Li, and W. Wang An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights Information Sciences 179 2009 3026 3040
22. Z. Wang, K.W. Li, and J. Xu A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information Expert Systems with Applications 38 2011 12462 12469
23. Wang, Z.; Wang, L.; & Li, K. W. (2011). A linear programming method for interval-valued intuitionistic fuzzy multiattribute group decision making, In Proceedings of the 2011 chinese control and decision conference, Mianyang, China (pp. 3833-3838).
24. C.P. Wei, P. Wang, and Y.Z. Zhang Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications Information Sciences 181 2011 4273 4286
25. G. Wei Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making Applied Soft Computing 10 2010 423 431
26. G. Wei Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making Expert Systems with Applications 38 2011 11671 11677
27. K. Xu, J. Zhou, R. Gu, and H. Qin Approach for aggregating interval-valued intuitionistic fuzzy information and its application to reservoir operation Expert Systems with Applications 38 2011 9032 9035
28. Z. Xu Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making Control and Decision 22 2007 215 219 in Chinese (Pubitemid 46576718)
29. Z. Xu A method based on distance measure for interval-valued intuitionistic fuzzy group decision making Information Sciences 180 2010 181 190
30. Z. Xu, and X. Cai Recent advances in intuitionistic fuzzy information aggregation Fuzzy Optimization and Decision Making 9 2010 359 381
31. Z. Xu, and J. Chen An overview of distance and similarity measures of intuitionistic fuzzy sets International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16 2008 529 555
32. Z. Xu, and R.R. Yager Dynamic intuitionistic fuzzy multi-attribute making International Journal of Approximate Reasoning 48 2008 246 262 (Pubitemid 351324070)
33. Z. Xu, and R.R. Yager Intuitionistic and interval-valued intuitionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group Fuzzy Optimization and Decision Making 8 2009 123 139
34. F. Ye An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection Expert Systems with Applications 37 2010 7050 7055
35. 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 2011 6179 6183
36. Z. Yue An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making Expert Systems with Applications 38 2011 6333 6338
37. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 356