DMaOEA-C: Decomposition-based many-objective evolutionary algorithm with the -constraint framework.

•An improved DMOEA-εC named DMaOEA-εC is proposed for MOPs and MaOPs.•A two-stage procedure is presented to generate widely spread upper bound vectors.•Two mechanisms are put forward to achieve a good spread of solutions over the PF.•A two-side update rule is proposed to speed the convergence of a population.•Statistical results show the superiority performance of DMaOEA-εC.