Method for aggregating correlated interval grey linguistic variables and its application to decision making

Technological and Economic Development of Economy

Volumn 19, Issue 2, 2013, Pages 189-202

  Zhang, Nian ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

Choquet integral; Interval grey linguistic correlated ordered arithmetic aggregation (IGLCOA) operator; Interval grey linguistic correlated ordered geometric aggregation (IGLCOGA) operator; Interval grey linguistic variables; Multiple attribute decision making problems

Indexed keywords

EID: 84885019485     PISSN: 20294913     EISSN: 20294921     Source Type: Journal    
DOI: 10.3846/20294913.2012.763071     Document Type: Article

References (33)

1. Balezentis, T., Zeng, S. 2013. Group multi-criteria decision making based upon interval-valued fuzzy numbers: an extension of the MULTIMOORA method, Expert Systems With Applications 40(2): 543-550. http://dx.doi.org/10.1016Zj.eswa.2012.07.066
2. Bu, G. Z., Zhang, Y. W. 2002. Grey fuzzy comprehensive evaluation based on the theory of grey fuzzy relation, Systems Engineering-Theory and Practice 22(4): 141-144
3. Chen, D. W. 1994. Grey fuzzy set introduction. Harbin: Heilongjiang Science and Technology Press
4. Choquet, G. 1953. Theory of capacities, Annales de l’institut Fourier 5(1): 131-295. http://dx.doi.org/10.5802/aif.53
5. Delgado, M., Verdegay, J., Vila, M. 1992. Linguistic decision making models, International Journal of Intelligent Systems 7(5): 479-492. http://dx.doi.org/10.1002/int.4550070507
6. Deng, J. L. 1982. Control problems of grey systems, Systems and Control Letters 1(5): 288-294. http://dx.doi.org/10.1016/S0167-6911(82)80025-X
7. Herrera, F., Herrera-Viedma, E. 2000. Linguistic decision analysis: steps for solving decision problems under linguistic information, Fuzzy Sets and Systems 115(1): 67-82. http://dx.doi.org/10.1016/S0165-0114(99)00024-X
8. Herrera, F., Herrera-Viedma, E., Verdegay, J. 1996. Direct approach processes in group decision making using linguistic OWA operators, Fuzzy Sets and Systems 79(2): 175-190. http://dx.doi.org/10.1016/0165-0114(95)00162-X
9. Jin, N., Lou, S. C. 2004. A grey fuzzy multi-attribute decision making method, Fire Control and Command Control 29(4): 26-28
10. Kacprzyk, J. 1986. Group decision making with a fuzzy linguistic majority, Fuzzy Sets and Systems 18(2): 105-118. http://dx.doi.org/10.1016/0165-0114(86)90014-X
11. Li, P. 2012. Intuitionistic fuzzy decision-making methods based on grey incidence analysis and DS theory of evidence, Grey Systems: Theory and Application 2(1): 54-62. http://dx.doi.org/10.1108/20439371211197677
12. Liu, P. D., Jin, F. 2010. The multi-attribute group decision making method based on the interval grey linguistic variables, African Journal of Business Management 4(17): 3708-3715
13. Liu, P. D., Zhang, X. 2011. The multi-attribute group decision making method based on the interval grey linguistic variables weighted geometric aggregation operator, Control and Decision 26(5): 743-747
14. Luo, D., Liu, S. F. 2004. Analytic method to a kind of grey fuzzy decision making based on entropy, Engineering Science 6(10): 48-51
15. Meng, K., Li, Y. W, Wang, C. J. 2007. Interval-value grey fuzzy comprehensive evaluation based on the preference of the risk and its application, Fire Control Command Control 32(4): 109-111
16. Merigó, J. M. 2010. Fuzzy decision making with immediate probabilities, Computers and Industrial Engineering 58(4): 651-657. http://dx.doi.org/10.1016/jxie.2010.01.007
17. Merigó, J. M., Gil-Lafuente, A. M. 2011. Fuzzy induced generalized aggregation operators and its application in multi-person decision making, Expert Systems with Applications 38(8): 9761-9772. http://dx.doi.org/10.1016/jxswa.2011.02.023
18. Merigó, J. M., Casanovas, M., Martinez, L. 2010. Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18(3): 287-304. http://dx.doi.org/10.1142/S0218488510006544
19. Salmeron, J. L., Gutierrez, E. 2012. Fuzzy grey cognitive maps in reliability engineering, Applied Soft Computing 12(12): 3818-3824. http://dx.doi.org/10.1016Zj.asoc.2012.02.003
20. Tan, C. Q., Chen, X. H. 2009. Induced Choquet ordered averaging operator and its application to group decision making, International Journal of Intelligent Systems 25(1): 59-82. http://dx.doi.org/10.1002/int.20388
21. Wang, Q. Y1996. Grey fuzzy mathematical foundation. Wuhan: Huazhong University of Science and Technology Press
22. Wang, Z. Y., Klir, G. J. 1992. Fuzzy measure theory. New York: Plenum Publishing Corporation
23. Wei, G. W., Wang, H. J., Lin, R., Zhao, X. F. 2011. Grey relational analysis method for intuitionistic fuzzy multiple attribute decision making with preference information on alternatives, International Journal of Computational Intelligence Systems 4(2): 164-173. http://dx.doi.org/10.2991/ijcis.2011.4.2.5
24. Xu, Z. S. 2006. A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information, Group Decision and Negotiation 15(6): 593-604. http://dx.doi.org/10.1007/s10726-005-9008-4
25. Xu, Z. S. 2010. Choquet integrals of weighted intuitionistic fuzzy information, Information Sciences 180(5): 726-736. http://dx.doi.org/10.1016/j.ins.2009.11.011
26. Yager, R. R. 2003. Induced aggregation operators, Fuzzy Sets and Systems 137(1): 59-69. http://dx.doi.org/10.1016/S0165-0114(02)00432-3
27. Yager, R. R. 2004a. Choquet aggregation using order inducing variables, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12(1): 69-88. http://dx.doi.org/10.1142/S0218488504002667
28. Yager, R. R. 2004b. OWA aggregation over a continuous interval argument with applications to decision making, Systems, Man, and Cybernetics, PartB: Cybernetics, IEEE Transactions on 34(5): 1952-1963. http://dx.doi.org/10.1109/TSMCB.2004.831154
29. Yin, M. S. 2012. Fifteen years of grey system theory research: a historical review and bibliometric analysis, Expert Systems with Applications, in press. http://dx.doi.org/10.1016/j.eswa.2012.11.002
30. Zadeh, L. A. 1965. Fuzzy sets, Information and Control 8(3): 338-353. http://dx.doi.org/10.1016/S0019-9958(65)90241-X
31. Zhang, X., Liu, P. D. 2010. Method for aggregating triangular fuzzy intuitionistic fuzzy information and its application to decision making, Technological and Economic Development of Economy 16(2): 280-290. http://dx.doi.org/10.3846/tede.2010.18
32. Zhou, S. M., Chiclana, F., John, R., Garibaldi, J. 2008. Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers, Fuzzy Sets and Systems 159(24): 3281-3296. http://dx.doi.org/10.1016/jTss.2008.06.018
33. Zhu, J., Hipel, K. W 2012. Multiple stages grey target decision making method with incomplete weight based on multi-granularity linguistic label, Information Sciences 212(1): 15-32. http://dx.doi.org/10.1016/j.ins.2012.05.011