A class of decentralized bi-level programming with multi-objectives in the upper level

作者: Xiaoyang Zhou , Yan Tu , Ruijia Hu , Benjamin Lev

DOI: 10.1109/FSKD.2015.7381974

关键词:

摘要: In this paper, a class of decentralized bi-level programming model with multi-objectives in the upper level is introduced, which discrete fuzzy random parameters are considered. To make calculable, we apply transformation method to transform variables into numbers then dealt using an expected value method. As it very difficult solve even if linear single objective each level, interactive weighted sum applied solved Lingo 13.0. Finally, efficiency optimization verified numerical example.

参考文章(21)
Xiaoyang Zhou, Jiuping Xu, Fuzzy-Like Multiple Objective Decision Making ,(2011)
Liming Yao, Jiuping Xu, Random-Like Multiple Objective Decision Making ,(2011)
Stanisław Heilpern, The expected value of a fuzzy number Fuzzy Sets and Systems. ,vol. 47, pp. 81- 86 ,(1992) , 10.1016/0165-0114(92)90062-9
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
Masatoshi Sakawa, Ichiro Nishizaki, Yoshio Uemura, A decentralized two-level transportation problem in a housing material manufacturer: Interactive fuzzy programming approach European Journal of Operational Research. ,vol. 141, pp. 167- 185 ,(2002) , 10.1016/S0377-2217(01)00273-9
Jun Gang, Yan Tu, Benjamin Lev, Jiuping Xu, Wenjing Shen, Liming Yao, A multi-objective bi-level location planning problem for stone industrial parks Computers & Operations Research. ,vol. 56, pp. 8- 21 ,(2015) , 10.1016/J.COR.2014.10.005
Jiuping Xu, Yanan He, Mistsuo Gen, A class of random fuzzy programming and its application to supply chain design Computers & Industrial Engineering. ,vol. 56, pp. 937- 950 ,(2009) , 10.1016/J.CIE.2008.09.045
Mehmet Ahlatcioglu, Fatma Tiryaki, Interactive fuzzy programming for decentralized two-level linear fractional programming (DTLLFP) problems Omega-international Journal of Management Science. ,vol. 35, pp. 432- 450 ,(2007) , 10.1016/J.OMEGA.2005.08.005