A novel membrane-inspired evolutionary framework for multi-objective multi-task optimization problems

•A novel membrane-inspired evolutionary framework with hybrid dynamic membrane structure is proposed to solve the multi-objective multi-task optimization problems.•A novel two-stage evolution strategy algorithm based on the membrane system is proposed as the algorithm in membrane.•The concept of information molecule concentration vector inspired by the binding process of information molecules and receptors is proposed to control the information transfer probability.•Can effectively avoid the negative transfer of knowledge and promote convergence.•Can achieve better performance than the state-of-the-art multitasking MOEAs.