哈尔滨工程大学信息与通信工程学院,黑龙江,哈尔滨,150001
纸质出版:2014
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毕晓君, 张永建, 陈春雨. 基于模糊支配的高维多目标进化算法MFEA[J]. 电子学报, 2014,42(8):1653-1659.
BI Xiao-jun, ZHANG Yong-jian, CHEN Chun-yu. A Many-Objective Evolutionary Algorithm Based on Fuzzy Dominance:MFEA[J]. Acta Electronica Sinica, 2014, 42(8): 1653-1659.
毕晓君, 张永建, 陈春雨. 基于模糊支配的高维多目标进化算法MFEA[J]. 电子学报, 2014,42(8):1653-1659. DOI: 10.3969/j.issn.0372-2112.2014.08.031.
BI Xiao-jun, ZHANG Yong-jian, CHEN Chun-yu. A Many-Objective Evolutionary Algorithm Based on Fuzzy Dominance:MFEA[J]. Acta Electronica Sinica, 2014, 42(8): 1653-1659. DOI: 10.3969/j.issn.0372-2112.2014.08.031.
为提高高维复杂多目标优化算法的收敛性和解集分布性,提出一种基于模糊支配的高维多目标进化算法MFEA.在第二代Pareto支配类高维多目标进化算法模型基础上,利用模糊理论对模型中的环境选择进行改进,提出基于模糊隶属度的支配关系,并结合Harmonic、k邻域法和小生境技术对其中的拥挤密度估计方法进行改进,最后根据高维多目标的特点并结合模糊理论-截集的思想提出了新的环境选择策略.将该算法与目前性能最好的5种多目标进化算法在标准测试函数集上进行对比试验,结果表明本文算法与其他算法相比具有明显的优势,不仅提高了算法的收敛性能,而且保证了Pareto最优解的均匀分布性.
In order to improve the convergence and distribution of Many-Objective Evolutionary Algorithms (MOEAs)
this paper proposes a Many-Objective Fuzzy Evolutionary Algorithm (MFEA) which is based on fuzzy dominance.On the model of algorithms based on Pareto-dominance
we improve the environmental selection using fuzzy logic.We present a new dominance strategy based on fuzzy membership.Then
we propose a new estimation method of crowding distance which incorporates Harmonic-distance
k-neighborhood method and niche technique.Finally
according to the characteristics of MOPs and the idea of -cut set
we design a new environmental selection strategy which is made up of two truncations.The proposed algorithm is compared to 5 state-of-the-art MOEAs on benchmark test problems.Simulation results show that -MFEA has obvious advantages than other algorithms because MFEA could ensure good convergence while has uniform distribution
especially
applied to solving high-dimensional MOPs.
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