Many-objective charging optimization for electric vehicles considering demand response and multi-uncertainties based on Markov chain and information gap decision theory

•Building a one-step rolling forecasting model by using Markov chain.•Selecting the data from an area of China to address charging uncertainty.•Applying demand response for charging optimization with time division for TOU-price.•Conducting four-objective optimization with generation uncertainty modeled via IGDT.•Proposing a joint algorithm based on the combination of ε-constraint and NSGA-II.