This paper proposes a semantic framework built on multidimensional ontological matrices for the design of adaptive systems. The core of the frame-work is composed by three matrices whose different planes contain the onto-logical representation of different types of knowledge. On these planes we rep-resent user features, her actions, context, device, content domain, adaptation goals and methods. The intersection between planes allows us to represent se-mantic rules for inferring new user features and to define adaptation strategies. We exploit OWL to represent taxonomic knowledge and SWRL for rules. The framework presents a new approach to build adaptive web-based systems that support interoperability.
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