Evolutionary clustering is often utilized for dynamic network community detection to uncover the evolution of community structure over time. However, it has the following main problems: 1) The absence of error correction may lead to the result-drifting problem and the error accumulation problem; 2) the NP-hardness of modularity based community detection makes it inefficient to get an exact solution. In this paper, an efficient and effective multi-objective method, namely DYN-MODPSO(multi-objective discrete particle swarm optimization for dynamic network), is proposed, where the traditional evolutionary clustering framework and the particle swarm algorithm are modified and enhanced, respectively. The main work of this article is as follows: 1) A novel strategy, namely the recently future reference, is devised for the initial clustering result correction to make the dynamic community detection more effective; 2) the traditional particle swarm algorithm is modified so that it could be effectively integrated with the evolutionary clustering framework; 3) the de-redundancy random walk based initial population generation method is presented to improve the diversity and the initial precision of the individuals; 4) the multi-individual crossover operator and the improved interference operator are developed to enhance the local search and the convergence abilities of DYN-MODPSO. Extensive experiments conducted on the real and the synthetic dynamic networks show that the efficiency and the effectiveness of DYN-MODPSO are significantly better than those of the competitors.