Multi-objective genetic algorithm based on the correlation coefficient and its application

In this paper, based on the correlation coefficient, a new multi-objective evolutionary algorithm is put forward. First, the best solution of every objective among the multi-objectives is obtained and they are regarded on as the referenced vector. Second, the correlation coefficient between every individual and the referenced vector is solved and the correlation coefficient is acted as fitness of the individual. Moreover, the pareto optimal sets are solved by means of adaptive genetic algorithm. The variety of population is kept by means of adaptive probability of crossover and mutation. At last, the algorithm is used to optimize the design parameters of cylinder helical compression spring. Simulation examples show the effectiveness of the approach proposed.