Reasoning within expressive fuzzy rough description logics

Reasoning with Very Expressive Fuzzy Description Logics

It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are a family of knowledge representation languages that have gained considerable attention the last decade, mainly due to their decidability and the existence of empirically high performance of reasoning algorithms. In th...

Reasoning within Fuzzy Description Logics

Description Logics (DLs) are suitable, well-known, logics for managing structured knowledge. They allow reasoning about individuals and well defined concepts, i.e. set of individuals with common properties. The experience in using DLs in applications has shown that in many cases we would like to extend their capabilities. In particular, their use in the context of Multimedia Information Retriev...

Reasoning in Expressive Description Logics

A Framework for Reasoning with Expressive Continuous Fuzzy Description Logics

In the current paper we study the reasoning problem for fuzzy SI (f-SI) under arbitrary continuous fuzzy operators. Our work can be seen as an extension of previous works that studied reasoning algorithms for f-SI, but focused on specific fuzzy operators, e.g. fKD-SI and of reasoning algorithms for less expressive fuzzy DLs, like fL-ALC and fP -ALC (fuzzy ALC under the Lukasiewicz and product f...

Generalized fuzzy rough description logics

Article history: Received 13 November 2009 Received in revised form 3 February 2011 Accepted 1 October 2011 Available online 14 October 2011