Enhanced Two-Step Satisfactory Method for Multi-Objective Optimization with Fuzzy Parameters - Intelligent Computing for Sustainable Energy and Environment - page 129

6 Conclusions
In this paper, the enhanced two-step satisfactory method is proposed for MOO
problem with fuzzy parameters. The strict preemptive priority structure is trans-
formed by the relaxed order of satisfactory degrees. The original problem is di-
vided into two optimization models about α -level sets. The result of the first
step is relaxed by the releasing parameter. Moreover, the priority variable is
minimized to achieve the preemptive priority requirement in the second step.
By the numerical example, the power of our approach is demonstrated.
Acknowledgments. The authors would like to thank the anonymous review-
ers for their helpful comments and constructive suggestions with regard to this
paper. This work was supported in part by National Natural Science Foundation
of China under Grant (61074064 & 91016018) and Natural Science Foundation
of Tianjin (12JCZDJC30300 & 11JCZDJC25100).
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