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Description Logics

DLs constitute a family of logic-based knowledge representation formalisms designed to represent and reason about the conceptual knowledge of arbitrary domains.

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Description Logics

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  1. DLs constitute a family of logic-based knowledge representation formalisms designed to represent and reason about the conceptual knowledge of arbitrary domains. DL Basics DL Semantics Description Logics Expressing Vague Knowledge in the Fuzzy Description Logic fALCHINJidi Zhao, Harold Boley, and Weichang Du “Everything is vague to a degree you do not realize till you have tried to make it precise.” -------Bertrand Russell British author, mathematician, & philosopher (1872 - 1970) Nobel Prize in Literature,1950 Fuzzy Description Logic fALCHIN • Fuzzy Sets are the key to decision making when faced with uncertainty (Zadeh, 1965). • Fuzzy Logic is particularly good at handling vagueness and imprecision. • Generalise crisp sets to Fuzzy Sets (concepts). Examples of Fuzzy Sets An fALCHIN KB: Labeling DL Axioms with [l, u] Intervals fALCHINReasoning Algorithm • Extended Completion Rules • Mixed-Integer Linear Programming System Reasoning Results

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