Abstract
Typical description logics are limited to dealing with crisp concepts and crisp roles. However, web applications based on description logics should allow the treatment of the inherent uncertainty. Extended Fuzzy Description Logics (EFDLs), which adopt a special fuzzify-method with more expressive power than the previous fuzzy description logics, are proposed to enable representation and reasoning for complex fuzzy information. They introduce the cut sets of fuzzy concepts and fuzzy roles as atomic concepts and atomic roles, and inherit the concept and role constructors from description logics. The definitions of syntax, semantics, reasoning tasks, reasoning properties, and reasoning algorithm are given for the extended fuzzy description logic.
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