In our active space project, attentive service is one of focus problems. Context-aware computing during seamless transfer is helpful to realize this service. Because the context is changed with the movement or shift of user/task in ubiquitous computing paradigm, its uncertainty is often existed. Context-aware computing with uncertainty includes obtaining context information, forming model and fusing of aware context information with uncertainty, managing context information. In this paper, we focus on modeling and computing of aware context information during seamless transfer with uncertainty for dynamic decision. Our insight is to combine dynamic context-aware computing with Random Set Theory (RST). We re-examine formalism of random set, argue the limitation of the direct numerical approaches, give modeling mode based on RST for aware context, propose our computing approach of modeled aware context, enumerate an experimental example of our Active Space and give the evaluation. The validity of this new context-aware computing approach for uncertainty information during seamless transfer based on RST has been tested successfully.
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