Tri-level hybrid interval-stochastic optimal scheduling for flexible residential loads under GAN-assisted multiple uncertainties

•A tri-level distribution market framework considering uncertainties is proposed.•A hybrid interval-stochastic model transforms uncertain problems to deterministic.•Generative Adversarial Networks (GANs) creates uncertain PV solar scenarios.•A rolling horizon optimization scheme is employed for continuous optimization.•Case studies validate the effectiveness of the proposed algorithm.