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| Shuffled Frog Leaping Algorithm Based on Central Point Double Thresholds and Fuzzy Subgroups |
| LIU Li-Qun1, HUO Jiu-Yuan2, WANG Lian-Guo1, HAN Jun-Ying1 |
1.College of Information Science and Technology, Gansu Agricultural University, Lanzhou 730070
2.School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070 |
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Abstract To overcome the demerits of basic shuffled frog leaping algorithm(SFLA), such as low optimization precision and falling into local optimum easily, a shuffled frog leaping algorithm based on central point double thresholds and fuzzy subgroups(CDTFSFLA) is proposed. The distance between frogs and central point in one subgroup is computed to measure compactness degree by selecting the central point randomly in each subgroup. The absolute threshold and the relative threshold of each subgroup are computed by the optimization method, and a strategy of fuzzy grouping with central point double thresholds and fuzzy subgroups is proposed to partition frogs into different fuzzy subgroups. In every local search, the update method of the worst individual in subgroups is improved according to the relation among central point membership, absolute threshold and relative threshold. The simulation results show that the proposed strategy and the update method are effective and feasible. CDTFSFLA can effectively improve convergence speed and precision in the optimization of unimodal and multimodal functions with fixed parameters, and it can maintain optimal performance under the condition of high dimensions, especially under the fitting condition that the number of neighborhood frogs is between 30 and 40 with dynamic parameters. The proposed algorithm improves the optimization performance of basic shuffled frog leaping algorithm effectively.
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Received: 18 June 2014
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2015, Vol. 28 
