Online social networks are enjoying drastic increase in their population and connectivity. One of the fundamental issues in these networks is trust, which is an essential factor in quality of the connections among diverse nodes in the network. To address the efficiency in the interactions among nodes, we propose in this paper a trust-based architecture applicable to maintain interactions in multi-agent-based social networks. We provide a detailed discussion over the network formation by taking into account the edge creation factors classified as homophily, confounding and influence. We systematically inspire different involving factors to observe evolution of trust-based interconnections in a microscopic manner. We also provide declarative and numerical analysis of the proposed model and its assessment and discuss the system implementation, along with simulations obtained from a number of executions compared with the broadly known frameworks.