Fuzzy programming approach to multi-level programming problems

作者: Surabhi Sinha

DOI: 10.1016/S0165-0114(02)00362-7

关键词:

摘要: Multi-level programming is characterized as mathematical to solve decentralized planning problems. We have considered a multi-level linear problem and applied fuzzy (FMP) approach obtain the solution of system. suggested FMP method for minimization objectives using membership functions. supervised search procedure (supervised by higher level decision maker (DM)). The DM provides preferred values variables under his control (to enable lower optimum in wider feasible space) bounds objective function direct solutions right direction).

参考文章(31)
W. Krelle, C. L. Hwang, Martin J. Beckmann, Shu-Jen J. Chen, Multiple Attribute Decision Making: Methods and Applications ,(1981)
Young-Jou Lai, Ching-Lai Hwang, Fuzzy Mathematical Programming: Methods and Applications ,(2014)
R. G. Dyson, Maximin Programming, Fuzzy Linear Programming and Multi-Criteria Decision Making Journal of the Operational Research Society. ,vol. 31, pp. 263- 267 ,(1980) , 10.1057/JORS.1980.44
Mohamed Abd El-Hady Kassem, Elsaid Ebrahim Ammar, A parametric study of multiobjective NLP problems with fuzzy parameters in the objective functions Fuzzy Sets and Systems. ,vol. 80, pp. 187- 196 ,(1996) , 10.1016/0165-0114(95)00200-6
Rong-Jun Li, E.S. Lee, Fuzzy approaches to multicriteria de Novo programs Journal of Mathematical Analysis and Applications. ,vol. 153, pp. 97- 111 ,(1990) , 10.1016/0022-247X(90)90268-K
U.P. Wen, A.D. Huang, A simple Tabu Search method to solve the mixed-integer linear bilevel programming problem European Journal of Operational Research. ,vol. 88, pp. 563- 571 ,(1996) , 10.1016/0377-2217(94)00215-0
Masatoshi Sakawa, Ichiro Nishizaki, Masatoshi Hitaka, Interactive fuzzy programming for multi-level 0–1 programming problems through genetic algorithms European Journal of Operational Research. ,vol. 114, pp. 580- 588 ,(1999) , 10.1016/S0377-2217(98)00019-8
Suwarna Hulsurkar, M.P. Biswal, S.B. Sinha, Fuzzy programming approach to multi-objective stochastic linear programming problems Fuzzy Sets and Systems. ,vol. 88, pp. 173- 181 ,(1997) , 10.1016/S0165-0114(96)00056-5
Masatoshi Sakawa, Masahiro Inuiguchi, Kosuke Kato, Tomohiro Ikeda, A fuzzy satisficing method for multiobjective linear optimal control problems multiple criteria decision making. ,vol. 78, pp. 223- 229 ,(1996) , 10.1016/0165-0114(95)00170-0
Hsu-Shih Shih, Young-Jou Lai, E. Stanley Lee, Fuzzy approach for multi-level programming problems Computers & Operations Research. ,vol. 23, pp. 73- 91 ,(1996) , 10.1016/0305-0548(95)00007-9