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A Fuzzy Description Logic with Hedges as Concept Modifiers
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This paper presents a fuzzy description logic, where primitive concepts are modified by means of hedges, and defines a decision procedure for the unsatisfiability problem in , and discusses truth bounds, expressivity as well as complexity issues.Abstract:
In this paper we present a fuzzy description logic , where primitive concepts are modified by means of hedges. is strictly more expressive than Fuzzydefined in [8]. We show that given a linearly ordered set of hedges primitive concepts can be modified to any desired degree by prefixing them with appropriate chains of hedges. Furthermore, we define a decision procedure for the unsatisfiability problem in , and discuss truth bounds, expressivity as well as complexity issues.read more
Citations
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Journal ArticleDOI
Managing uncertainty and vagueness in description logics for the Semantic Web
TL;DR: This paper gives an overview of approaches in this context to managing probabilistic uncertainty, possibilistic Uncertainty, and vagueness in expressive description logics for the Semantic Web.
Journal ArticleDOI
Fuzzy spatial relation ontology for image interpretation
TL;DR: An ontology of spatial relations is proposed, in order to guide image interpretation and the recognition of the structures it contains using structural information on the spatial arrangement of these structures.
Book ChapterDOI
Towards a fuzzy description logic for the semantic web (preliminary report)
TL;DR: It is shown that the representation and reasoning capabilities of fuzzy $\mathcal{SHOIN}$(D) go clearly beyond classical $D, the corresponding Description Logic of the ontology description language OWL DL.
Journal ArticleDOI
Making fuzzy description logic more general
TL;DR: A version of fuzzy description logic based on the basic (continuous t-norm based) fuzzy predicate logic BL is presented and some stronger results are obtained.
Proceedings Article
Fuzzy OWL: Uncertainty and the Semantic Web.
TL;DR: The OWL web ontology language is extended, with fuzzy set theory, in order to be able to capture, represent and reason with information that is many times imprecise or vague.
References
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Book
Fuzzy Sets and Fuzzy Logic: Theory and Applications
George J. Klir,Bo Yuan +1 more
TL;DR: Fuzzy Sets and Fuzzy Logic is a true magnum opus; it addresses practically every significant topic in the broad expanse of the union of fuzzy set theory and fuzzy logic.
Journal ArticleDOI
A Fuzzy-Set-Theoretic Interpretation of Linguistic Hedges
TL;DR: A basic idea suggested in this paper is that a linguistic hedge such as very, more or less, much, essentially, etc. may be viewed as an operator which acts on the fuzzy set representing the meaning of its operand.
Journal ArticleDOI
Reasoning within fuzzy description logics
TL;DR: This paper presents a fuzzy extension of ALC, combining Zadeh's fuzzy logic with a classical DL, where concepts becomes fuzzy and, thus, reasoning about imprecise concepts is supported.
Book
Reasoning and Revision in Hybrid Representation Systems
TL;DR: The universal term-forming formalism is a hybrid representation formalism that combines terminological cycles, representation and management of knowledge, and reasoning in the formalism.
Journal ArticleDOI
An Overview of Tableau Algorithms for Description Logics
Franz Baader,Ulrike Sattler +1 more
TL;DR: This article focuses on three features that play an important rôle in description logics (number restrictions, terminological axioms, and role constructors), and shows how they can be taken into account by tableau algorithms.