The dramatic advances in the technologies of different energy systems have substantially transformed energy grids, resulting in undeniable interdependencies among multi-energy networks. In this regard, harvesting maximum clean energy from renewable sources has been accounted as a vital goal in the rising path of modern energy grids due to economic and environmental objectives. However, the adoption of renewables in the power production sector is not limited only to the mentioned benefits, but also optimizing energy interactions has appeared as a critical challenge in the presence of energy sources with stochastic outputs. Therefore, this paper proposes an IGDT-stochastic hybrid operational model to optimize energy interactions in cooperative multi-microgrids. The proposed model serves the optimization of energy interactions by relying on multifarious technologies in energy storage, conversion, trading, and management. On the other hand, it develops transactive energy technology to create the possibility of affordable energy sharing among microgrids, resulting in improving their flexibility in multi-energy management. To quantify effective uncertainties, the model benefits from the hybrid IGDT-stochastic method that offers risk-averse and risk-seeker strategies to scrutinize the robustness and opportunistic functions of the optimization problem. The results indicated that microgrids can meet the energy requirements of consumers by developing multi-energy interaction management models with minimum environmental pollution and costs.