A fuzzy multi-objective bilevel decision support system

International Journal of Information Technology and Decision Making

Volumn 8, Issue 1, 2009, Pages 93-108

  Gao, Ya ^a   Zhang, Guangquan ^a   Lu, Jie ^a  

^a UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

Author keywords

Bilevel decision making; Decision support systems; Fuzzy sets; Multi objective decision making; Optimization

Indexed keywords

EID: 65249143313     PISSN: 02196220     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219622009003284     Document Type: Article

References (36)

1. J. Amat and B. McCarl, A representation and economic interpretation of a two-level programming problem, J. Oper. Res. Soc. 32 (1981) 783-792.
2. O. Augustoa, S. Rabeaub, P. Depinceb and F. Bennisb, Multi-objective genetic algorithms: A way to improve the convergence rate, Eng. Appl. Artif. Intell. 19 (2006) 501-510.
3. J. F. Bard, Practical Bilevel Optimization: Algorithms and Applications (Kluwer Academic Publishers, Boston, 1998).
4. J. F. Bard and J. T. Moore, A branch and bound algorithm for the bilevel programming problem, SIAM J. Sci. Stat. Comput. 11 (1990) 281-292.
5. M. Chen, G. Tzeng and T. Tang, Fuzzy MCDM approach for evaluation of expatriate assignments, Int. J. Inf. Technol. Decision Making 4(2) (2005) 277-296.
6. M. Ehrgott and X. Gandibleux, Multiple objective combinatorial optimization a tutorial, Multi-Obj. Prog. Goal-Prog.: Theory and Appl. (2003) 3-18.
7. L. Fang, K. W. Hipel, D. M. Kilgour and X. Peng, A decision support system for interactive decision making part i: Model furmulation, IEEE Trans. Syst., Man, and Cybern. Part C: Appl. Rev. 33(1) (2003) 42-55.
8. C. Feng and C. Wen, Bi-level and multi-objective model to control traffic flow into the disaster area post earthquake, J. Eastern Asia Soc. Transp. Studies 6 (2005) 4253-4268.
9. X. Gandibleux, N. Mezdaoui and A. Freville, A tabu search procedure to solve multiobjective combinatorial optimization problems, in Advances in Multiple Objective and Goal Programming, eds. R. Caballero, F. Ruiz and E. R. Steuer, Vol. 455 (Springer, Berlin, 1997).
10. Y. Gao, G. Zhang, J. Lu and S. Gao, A bilevel model for railway train set organizing optimization, in 2007 Int. Conf. Intelligent Systems and Knowledge Engineering (ISKE2007) (Atlantis Press, 2007).
11. Y. Gao, G. Zhang, J. Lu and X. Zeng, A ?-cut approximate approach to supporting fuzzy goal based bilevel decision making in risk management, in The First Int. Conf. Risk Analysis and Crisis Response (Atlantis Press, 2007).
12. B. F. Hobbs, B. Metzler and J. S. Pang, Strategic gaming analysis for electric power system: An MPEC approach, IEEE Trans. Power Syst. 15 (2000) 637-645.
13. S. Li, H. Wu and Y. Yang, Receding horizon fuzzy optimization under local information environment with a case study, Int. J. Inf. Technol. Decision Making 3(1) (2004) 109-127.
14. X. Li, P. Tian and X. Min, A hierarchical particle swarm optimization for solving bilevel programming problems, in Artificial Intelligence and Soft Computing ICAISC 2006, 8th Int. Conf. Proc. (Springer-Verlag, 2006).
15. J. Lu, C. Shi and G. Zhang, On bilevel multi-follower decision making: General framework and solutions, Inf. Sci. 176(11) (2006) 1607-1627.
16. J. Lu, C. Shi, G. Zhang and T. Dillon, Model and extended Kuhn-Tucker approach for bilevel multi-follower decision making in a referential- uncooperative situation, Int. J. Global Optim. 38(4) (2007) 597-608.
17. J. Lu, C. Shi, G. Zhang and D. Ruan, An extended branch and bound algorithm for bilevel multi-follower decision making in a referential- uncooperative situation, Int. J. Inf. Technol. Decision Making 6(2) (2007) 371-388.
18. J. Lu, G. Zhang, D. Ruan and F. Wu, Multi-Objective Group Decision Making: Methods, Software and Applications with Fuzzy Set Technology (Imperial College Press, London, 2007).
19. J. Mustajoki and R. P. Hamalainen, Smart-swaps a decision support system for multicriteria decision analysis with the even swaps method, Decis. Supp. Syst. 44 (2007) 313-325.
20. Z. Pei, S. Tian and H. Huang, A novel method for solving nonlinear bilevel programming based on hybrid particle swarm optimization, in The 8th Int. Conf. on Signal Processing, Vol. 3, 2006.
21. M. Sakawa, I. Nishizaki and Y. Uemura, Interactive fuzzy programming for multilevel linear programming problems with fuzzy parameters, Fuzzy Sets Syst. 109 (2000) 3-19.
22. C. Shi, J. Lu and G. Zhang, An extended kth-best approach for linear bilevel programming, Appl. Math. Comput. 164(3) (2005) 843-855.
23. C. Shi, J. Lu and G. Zhang, An extended Kuhn-Tucker approach for linear bilevel programming, Appl. Math. Comput. 162 (2005) 51-63.
24. C. Shi, J. Lu, G. Zhang and H. Zhou, An extended branch and bound algorithm for linear bilevel programming, Appl. Math. Comput. 180(2) (2006) 529-537.
25. H. V. Stackelberg, Theory of the Market Economy (Oxford University Press, New York, 1952).
26. U. P. Wen and S. T. Hsu, Linear bilevel programming problems a review, J. Oper. Res. Soc. 42 (1991) 123-133.
27. D. White and G. Anandalingam, A penalty function approach for solving bi-level linear programs, J. Global Optim. (3) (1993) 397-419.
28. F. Wu, J. Lu and G. Zhang, Development and implementation on a fuzzy multiple objective decision support system, in Knowledge-Based Intelligent Information and Engineering Systems, 9th Int. Conf., KES 2005 (Springer-Verlag, Melbourne, Vic., Australia, 2005).
29. H. Yu, C. Dang and S. Wang, Game theoretical analysis of buy-it-now price auctions, Int. J. Inf. Technol. Decision Making 5(3) (2006) 557-581.
30. G. Zhang and J. Lu, Model and approach of fuzzy bilevel decision making for logistics planning problem, J. Enterprise Inform. Manag. 20(2) (2007) 178-197.
31. G. Zhang, J. Lu and T. Dillon, An approximation branch-and-bound algorithm for fuzzy bilevel decision making problems, in Proc. 1st Int. Symp. Advances in Artif. Intell. and Applications (Poland, 2006).
32. G. Zhang, J. Lu and T. Dillon, kth-best algorithm for fuzzy bilevel programming, in Proc. Int. Conf. on Intelligent Systems and Knowledge Engineering (Shanghai, 2006).
33. G. Zhang, J. Lu and T. Dillon, An approximation Kuhn-Tucker approach for fuzzy linear bilevel decision making problems, in Intelligent Decision Making, eds. L. Jain and G. Wren (Springer, 2007).
34. G. Zhang, J. Lu and T. Dillon, Decentralized multi-objective bilevel decision making with fuzzy demands, Knowledge-Based Syst. 20(5) (2007) 495-507.
35. G. Zhang, J. Lu and T. Dillon, Fuzzy linear bilevel optimization: Solution concepts, approaches and applications, in Fuzzy Logic A Spectrum of Theoretical & Practical Issues, eds. Wang, Ruan, Kerre (Springer, 2007), pp. 351-379.
36. W. Zhang, Yinyang bipolar fuzzy sets and fuzzy equilibrium relations: For clustering, optimization, and global regulation, Int. J. Inf. Technol. Decision Making 5(1) (2006) 19-46.