Fuzzy programming approach for solving bi-level multi-objective linear programming problems
作者： Wenguang Tang , Zhao Fenxia
DOI: 10.1109/FSKD.2010.5569711
关键词:
摘要: This paper presents a fuzzy programming approach for solving bi-level multi-objective linear problems with single decision maker at the upper level and multiple makers lower level. The membership function vector of fuzzy-effective solution controlled by as well functions all objective two levels are developed in model. Then this is used to achieve hightest degree each abtain satisfactary makers. Numerical examples given demonstrate proposed approach.
sci-hub.se 参考文章(8)
E. Roghanian, S.J. Sadjadi, M.B. Aryanezhad, A probabilistic bi-level linear multi-objective programming problem to supply chain planning Applied Mathematics and Computation. ,vol. 188, pp. 786- 800 ,(2007) , 10.1016/J.AMC.2006.10.032
Sy-Ming Guua, Yan-Kuen Wu, Two-phase approach for solving the fuzzy linear programming problems Fuzzy Sets and Systems. ,vol. 107, pp. 191- 195 ,(1999) , 10.1016/S0165-0114(97)00304-7
Mariano Jiménez, Amelia Bilbao, Pareto-optimal solutions in fuzzy multi-objective linear programming Fuzzy Sets and Systems. ,vol. 160, pp. 2714- 2721 ,(2009) , 10.1016/J.FSS.2008.12.005
Sy-Ming Guu, Yan-Kuen Wu, Weighted coefficients in two-phase approach for solving the multiple objective programming problems Fuzzy Sets and Systems. ,vol. 85, pp. 45- 48 ,(1997) , 10.1016/0165-0114(95)00360-6
Bijay Baran Pal, Bhola Nath Moitra, A FUZZY GOAL PROGRAMMING PROCEDURE FOR SOLVING QUADRATIC BILEVEL PROGRAMMING PROBLEMS International Journal of Intelligent Systems. ,vol. 18, pp. 529- 540 ,(2003) , 10.1002/INT.10102
Ibrahim A. Baky, Fuzzy goal programming algorithm for solving decentralized bi-level multi-objective programming problems Fuzzy Sets and Systems. ,vol. 160, pp. 2701- 2713 ,(2009) , 10.1016/J.FSS.2009.02.022
Surapati Pramanik, Tapan Kumar Roy, Fuzzy goal programming approach to multilevel programming problems European Journal of Operational Research. ,vol. 176, pp. 1151- 1166 ,(2007) , 10.1016/J.EJOR.2005.08.024
R. E. Bellman, L. A. Zadeh, Decision-making in a fuzzy environment ,(1970)