Abstract
An enhanced two-step satisfactory method for multi-objective optimization problem with fuzzy parameters is proposed in this paper. By means of the α-level sets of the fuzzy numbers, all the objectives with fuzzy parameters are modeled as the fuzzy goals. The order of satisfactory degrees about different denoting that the higher priority achieves the higher satisfactory degree is applied to preemptive priority requirement. The strict order constraints are relaxed by decreasing the maximum overall satisfactory degree. The original optimization problem is divided into two models to be solved iteratively. The satisfactory solution can be acquired by changing parameter or regulating α. The numerical example demonstrates the power of the proposed method.
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Hu, C., Liu, Q., Liu, Y. (2013). Enhanced Two-Step Satisfactory Method for Multi-Objective Optimization with Fuzzy Parameters. In: Li, K., Li, S., Li, D., Niu, Q. (eds) Intelligent Computing for Sustainable Energy and Environment. ICSEE 2012. Communications in Computer and Information Science, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37105-9_14
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DOI: https://doi.org/10.1007/978-3-642-37105-9_14
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