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Providing a broad overview of the state of the art, this book presents mathematical methods and tools for representing fuzzy information and reasoning within Semantic Web languages. It covers the three main streams of Semantic Web languages: triple languages (RDF and RDFS), conceptual languages (OWL, OWL 2, and their profiles), and rule-based languages (SWRL and RIF). With a focus on practical/implementation issues and application examples, the text explores such key topics as Semantic-based decision making, multimedia information retrieval, matchmaking, formalization, optimization, and reasoning.