Abstract:

In order to facility the decision-making, bi-objective optimization is to find a sufficient number of uniformly distributed Pareto optimal solutions from the set of the optimal solutions. The uniformity degree and rank of the population are given to measure the distribution and quality of the solutions in the population based on the characteristic. Using the uniform degree of the population as objective function and the rank as the constrained condition, the bi-objective optimization problem is transformed into a single objective constrained optimization problem. The computational equations of the charge and force exerted on the particles are presented. Then, a novel electromagnetism-like algorithm is proposed for solving the new model. The simulation results on standard benchmark functions demonstrate the effectiveness of the proposed algorithm.