Helper and equivalent objective different evolution for constrained optimisation

A novel multiobjective evolutionary algorithm is proposed for constrained optimisation in this paper. It transforms a constrained optimisation problem into a two objective optimisation problem. One objective is equivalent to solving the original constrained problem, and the other is the degree of constraint violation which only plays a helper role. This multiobjective problem is decomposed into several single objective optimisation problems using a dynamical weighted sum approach. Each single objective eventually tends to an equivalent objective. A decomposition-based multiobjective optimisation differential evolution algorithm is designed for solving these single objective problems simultaneously.