Responsible, ethical, and trustworthy decision-making powered by the new generation of artificial intelligence (AI) and deep learning (DL) recently emerged as one of the key societal challenges. This chapter provides a comprehensive review of state-of-the-art methods that emerged very recently in the domain of trustworthiness, fairness, and authenticity of online social media. Furthermore, this chapter discusses open problems, provides examples of other application domains in the realm of computer vision and intelligent computing, recommends bias mitigation strategies, and provides insights on the future developments in this key research domain.