Enhanced Two-Step Method via Relaxed Order of -Satisfactory Degrees for Fuzzy Multiobjective Optimization

作者: Na Wang , Chaofang Hu , Wuxi Shi , Chunbo Xiu , Yimei Chen

DOI: 10.1155/2014/867836

关键词:

摘要: An enhanced two-step method via relaxed order of satisfactory degrees for fuzzy multiobjective optimization is proposed in this paper. By introducing the concept numbers and -level set theory, parameters are taken as variables, all objectives transformed into goals involving three relations. The -satisfactory which means with higher priority achieving degree applied to model preemptive requirement. This strict constraint by variable find preferred solution satisfying priority. original problem divided two steps be solved iteratively. M--Pareto optimality ensured, can acquired regulating slack parameter or changing . numerical examples demonstrate power method.

参考文章(30)
Ching-Lai Hwang, Abu Syed Md. Masud, Fuzzy Multiple Objective Decision Making: Methods And Applications ,(1996)
Adrian Dietz, Alberto Aguilar-Lasserre, Catherine Azzaro-Pantel, Luc Pibouleau, Serge Domenech, A fuzzy multiobjective algorithm for multiproduct batch plant: Application to protein production Computers & Chemical Engineering. ,vol. 32, pp. 292- 306 ,(2008) , 10.1016/J.COMPCHEMENG.2007.05.011
Chang-Chun Lin, A weighted max–min model for fuzzy goal programming Fuzzy Sets and Systems. ,vol. 142, pp. 407- 420 ,(2004) , 10.1016/S0165-0114(03)00092-7
R.N. Tiwari, S. Dharmar, J.R. Rao, Fuzzy goal programming- an additive model Fuzzy Sets and Systems. ,vol. 24, pp. 27- 34 ,(1987) , 10.1016/0165-0114(87)90111-4
Shinq-Jen Wu, Cheng-Tao Wu, Jyh-Yeong Chang, Fuzzy-Based Self-Interactive Multiobjective Evolution Optimization for Reverse Engineering of Biological Networks IEEE Transactions on Fuzzy Systems. ,vol. 20, pp. 865- 882 ,(2012) , 10.1109/TFUZZ.2012.2187212
R.T. Marler, J.S. Arora, Survey of multi-objective optimization methods for engineering Structural and Multidisciplinary Optimization. ,vol. 26, pp. 369- 395 ,(2004) , 10.1007/S00158-003-0368-6
Liang-Hsuan Chen, Feng-Chou Tsai, Fuzzy goal programming with different importance and priorities European Journal of Operational Research. ,vol. 133, pp. 548- 556 ,(2001) , 10.1016/S0377-2217(00)00201-0
Bijay Baran Pal, Bhola Nath Moitra, A goal programming procedure for solving problems with multiple fuzzy goals using dynamic programming European Journal of Operational Research. ,vol. 144, pp. 480- 491 ,(2003) , 10.1016/S0377-2217(01)00384-8
A. Segun Adeyefa, Monga K. Luhandjula, Multiobjective Stochastic Linear Programming: An Overview American Journal of Operations Research. ,vol. 01, pp. 203- 213 ,(2011) , 10.4236/AJOR.2011.14023