The multi-attribute group decision making method based on the interval grey linguistic variables weighted aggregation operator

Journal of Intelligent and Fuzzy Systems

Volumn 24, Issue 2, 2013, Pages 405-414

  Liu, Peide ^a  

^a SHANDONG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Grey fuzzy number; interval grey linguistic variables; multi attribute group decision making; the interval grey linguistic variables hybrid weighted aggregation operator

Indexed keywords

AGGREGATION OPERATOR; ATTRIBUTE VALUES; ATTRIBUTE WEIGHT; DECISION-MAKING METHOD; FUZZY NUMBERS; GROUP DECISION MAKING PROBLEMS; INTERVAL GREY LINGUISTIC VARIABLES; MULTI-ATTRIBUTE GROUP DECISION MAKING; NUMERICAL EXAMPLE; OPERATION RULES; ORDERED WEIGHTED AGGREGATIONS;

ARTIFICIAL INTELLIGENCE; DECISION MAKING; FUZZY SETS; IMAGE PROCESSING; MATHEMATICAL OPERATORS;

LINGUISTICS;

EID: 84873572105     PISSN: 10641246     EISSN: 18758967     Source Type: Journal    
DOI: 10.3233/IFS-2012-0572     Document Type: Article

References (31)

1. G.Z. Bu and Y.W. Zhang, Grey fuzzy comprehensive evaluation based on the theory of grey fuzzy relation, Systems Engineering Theory and Practice 22(4) (2002), 141-144.
2. F.J. Cabrerizo, I.J. Ṕerez and E. Herrera-Viedma, Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information, Knowledge-Based Systems 23(2) (2010), 169-181.
3. D.W. Chen, Grey Fuzzy Set Introduction, Helongjiang Science and Technology Press, Harbin, 1994.
4. Y.H. Chen, T.C. Wang and C.Y. Wu, Multi-criteria decision making with fuzzy linguistic preference relations, Applied Mathematical Modelling 35(3) (2011), 1322-1330.
5. Z.P. Fan andY. Liu,Amethod for group decision-making based on multi-granularity uncertain linguistic information, Expert Systems with Applications 37(5) (2010), 4000-4008.
6. F. Herrera, E. Herrera Viedma and J.L. Verdegay, A model of consensus in group decision making under linguistic assessments, Fuzzy Sets and Systems 79(1) (1996), 73-87.
7. F. Herrera and E. Herrera-Viedma, Linguistic decision analysis: Steps for solving decision problems under linguistic information, Fuzzy Sets and Systems 115(1) (2000), 67-82.
8. F. Herrera, E. Herrera-Viedma and F. Chiclana, Multiperson decision-making based on multiplicative preference relations, European Journal of Operational Research 129 (2001), 372-385.
9. F. Jin and P.D. Liu, The multi-attribute group decision making method based on the interval grey linguistic variables, African Journal of Business Management 4(17) (2010), 3708-3715.
10. N. Jin and S.C. Lou, A grey fuzzy multi-attribute decision making method, Fire Control and Command Control 29(4) (2004), 26-28.
11. N. Jin and S.C. Lou, Study on multi-attribute decision making model based on the theory of grey fuzzy relation, Intelligence Command Control and Simulation Techniques 7 (2003), 44-47.
12. H.X. Li and P.Z.Wang, Fuzzy mathematics, National Defense Industry Press, Beijing, 1994.
13. P.D. Liu, A novel method for hybrid multiple attribute decision making, Knowledge-based systems 22(5) (2009), 388-391.
14. P.D. Liu, The study on venture investment evaluation based on linguistic variables for Chinese case, Journal Of Business Economics and Management 17(2) (2011), 219-233.
15. P.D. Liu, F. Jin, X. Zhang, Y. Su and M.H. Wang, Research on the multi-attribute decision-making under risk with interval probability based on prospect theory and the uncertain linguistic variables, Knowledge-Based Systems 24(4) (2011), 554-561.
16. P.D. Liu and Y. Su, The multiple attribute decision making method based on the TFLHOWA operator, Computers and Mathematics with Applications 60(9) (2010), 2609-2615.
17. P.D. Liu and X. Zhang, The study on multi-attribute decisionmaking with risk based on linguistic variable, International Journal of Computational Intelligence Systems 3(5) (2010), 601-609.
18. P.D. Liu, X. Zhang andW.L. Liu, A risk evaluation method for the high-tech project investment based on uncertain linguistic variables, Technological Forecasting and Social Change 78(1) (2011), 40-50.
19. D. Luo and S.F. Liu, Analytic method to a kind of grey fuzzy decision making based on entropy, Engineering Science 6(10) (2004), 48-51.
20. K. Meng, Y.X. Li, C.J. Wang and W.T. Yang, Interval-value grey fuzzy comprehensive evaluation based on the preference of the risk and its application, Fire Control and Command Control 32(4) (2007), 109-111.
21. C.H. Wang and L.T. Song, Fuzzy theory and methodology, China Building Industry Press, Beijing, 1988.
22. J.Q.Wang and J.Wang, Interval grey fuzzy multi-criteria decision making approach, Systems Engineering and Electronics 30(12) (2008), 2409-2411.
23. J.Q. Wang and J. Wang, Multi-criterion decision making approach based on interval grey interval number, Chinese Journal of Management 6(9) (2009), 1150-1153.
24. J.Q. Wang and J.W. Wu, Multi-criteria decision-making approach based on the interval grey uncertain linguistic, Chinese Journal of Management Science 18(3) (2010), 107-111.
25. Q.Y. Wang, Grey fuzzy Mathematical Foundation, Huazhong University of Science and Technology Press, Wuhan, 1996.
26. Y.Wang and Z.S. Xu, A new method of giving OWA weights, Mathematics in Practice and Theory 8(3) (2008), 51-61.
27. G.W. Wei, Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making, Computers & Industrial Engineering 61(1) (2011), 32-38.
28. Z.S. Xu,Anote on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information, Group Decision and Negotiation 15(6) (2006), 593-604.
29. Z.S. Xu, Goal programming models for multiple attribute decision making under linguistic setting, Journal of Management Sciences in China 9(2) (2006), 9-17.
30. R.R. Yager, OWA aggregation over a continuous interval argument with applications to decision making, IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics 34(5) (2004), 1952-1963.
31. S.Q. Zhu, K. Meng and H.X. Zhang, Interval numbers grey fuzzy comprehensive evaluation and its application, Electronics Optics and Control 13(3) (2006), 36-37, 41.