Differential Evolution Algorithm with Grey-based Adaptive Mutation Factor
Min-Shyang Leu, Shih-Chang Wang, Ming‐Feng Yeh, Po-Jung Huang · The journal of grey system/Journal of grey system · 2013
With the help of grey relational analysis, this study attempts to propose a new differential evolutionary (DE) algorithm by updating the mutation factor in a grey-based adaptive manner. By the proposed approaches, each individual has its own mutation factor whose value is dependent upon the corresponding grey relational grade. Since the relational grade of an individual is varying over the generations, the mutation factor is also time-varying. Even if in the same generation, the mutation factor may differ for different individuals. Such a DE algorithm is termed the DE algorithm with grey-based adaptive mutation factor (DE_GAMF) in this study. In addition, the DE_GAMF is applied to solve the optimization problems of eight benchmark functions for illustration. Simulation results show that the proposed DE_GAMF could perform well search performance on most of the test functions.