General Concept Inclusions inFluzzy Description Logics

General Concept Inclusions in Fuzzy Description Logics

Fuzzy Description Logics (fuzzy DLs) have been proposed as a language to describe structured knowledge with vague concepts. A major theoretical and computational limitation so far is the inability to deal with General Concept Inclusions (GCIs), which is an important feature of classical DLs. In this paper, we address this issue and develop a calculus for fuzzy DLs with GCIs.

Fuzzy description logics with general concept inclusions

Learning General Concept Inclusions in Probabilistic Description Logics

Probabilistic interpretations consist of a set of interpretations with a shared domain and a measure assigning a probability to each interpretation. Such structures can be obtained as results of repeated experiments, e.g., in biology, psychology, medicine, etc. A translation between probabilistic and crisp description logics is introduced and then utilised to reduce the construction of a base o...

Infinitely Valued Gödel Semantics for Expressive Description Logics

Fuzzy Description Logics (FDLs) combine classical Description Logics with the semantics of Fuzzy Logics in order to represent and reason with vague knowledge. Most FDLs using truth values from the interval [0, 1] have been shown to be undecidable in the presence of a negation constructor and general concept inclusions. One exception are those FDLs whose semantics is based on the infinitely valu...

Generalized satisfiability for the description logic ALC

The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSpace-complete, and it is ExpTime-complete in the presence of general concept inclusions. Several fragments of ALC, notably logics in the FL, EL, and DL-Lite families, have an easier satisfiability problem; for some of these logics, satisfiability can be decided in polynomial time. We classify the com...