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The convergence of Internet and mobile devices has radically changed the way people communicate and interact with each other, and demand for applications that are "social" enough to assist their daily interactions. To support such device mediated interactions, the social relationships between actors need to be systematically modeled and represented. In addition, an application facilitating such interactions should be able to deal with the task conflicts that occur when an actor is involved in multiple interactions simultaneously. To address these issues, in this paper we present an approach to modeling and coordinating social interactions with the notion of social context. It supports social interaction modeling from both the domain- and player-centric perspectives. In particular, the player-centric model provides the basis to coordinate multiple interactions in which an actor is involved. We further introduce a fuzzy logic based reasoning technique to infer the overall importance of each interaction, assisting the actor to resolve conflicts and make decisions. Finally, we validate our approach through a prototype implementation and test cases analysis.