Abstract
An improved normal boundary intersection (NBI) method is proposed. To overcome the deficiency of NBI methods in finding one Pareto solution in a single run, the utopia plane is divided into sub-domains. Dual external archives are proposed to enhance the diversity of the population. A new elite strategy is introduced to keep the balance between global and local searches. Two counter vectors are defined and used to record the mapping rate and selection rate of each sub-domain to act as elites to guide searches. The projection distance is employed to select candidates for next cycle of iterations. The expending of the ideal plane is implemented to sample completely the whole objective space and obtain an even distributed Pareto front. To validate the proposed algorithm, it is used to solve mathematical functions and an inverse problem with promising results.
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