We are paving the way towards a fully connected IoT (Internet of Things) world, where humans and things as individual components of a global ecosystem can adapt to each other and coordinate to act as a unified digital entity, such as the interaction of human firefighters with drones to face wildfire and the cooperation of human workers with robots to accomplish tasks in the industry. As a result, humans start anthropomorphizing things to gain enhanced feelings of competence, ability, and cooperation. Meanwhile, humans start developing passive-aggressive behavior towards humanized things, which brings to the table an interesting discussion on determining trustworthy collaborative relationships between human and non-human entities in IoT ecosystems. Digital trust management has emerged as a vital solution for establishing and maintaining social relationships between human and non-human entities. However, building a reliable social relationship among people and things is still more complex due to different social characteristics and skills of people, such as personality and emotions. While most trust models have focused on supporting security solutions (e.g., trust management-based intrusion detection systems) by monitoring only the behavior of things, little attention is given to observing the behavior of humans in IoT ecosystems. To bridge the gap, this work introduces our vision for future anthropomorphic digital trust management model, aiming to understand the social IoT dimension of human inclusion and anthropomorphism of things. This work seeks to propose a trust model able to build and manage trustworthy human-thing relationships while promoting social responsibility and accountability, which are the indispensable ethical principles of human society and humanized things.