AI possesses the potential to enhance decision-making, mitigate bias and decrease cognitive overload. Nevertheless, instilling trust in the reliability of AI remains essential. The EU-funded TANGO project will forge hybrid decision support systems that harmonise human and machine values and objectives, fortifying Europe’s prominence in human-centric AI. It will formulate a cognitive theory of mutual comprehension and hybrid decision-making, create explainable AIs attuned to cognition, and facilitate a ‘human-in-the-loop’ co-evolution of human decision-making and machine learning models. TANGO is set to execute four impactful use cases: providing support to women during pregnancy and postpartum, aiding surgical teams, assisting loan officers and applicants in credit lending assessments, and guiding public policymakers in devising incentives and distributing funds.