Similarity for Attribute-value Representations in Fuzzy Description Logics

In this paper we explore the possibility of introducing the equality symbol in the languages of Fuzzy Description Logics (FDLs) interpreted as a similarity relation. The goal is twofold: dealing with attribute-value representations at the domain objects level, and integrating the treatment of similarities inside the description languages and their corresponding knowledge bases.

[1]  R. Mesiar,et al.  Aggregation operators: new trends and applications , 2002 .

[2]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[3]  Diego Calvanese,et al.  The Description Logic Handbook: Theory, Implementation, and Applications , 2003, Description Logic Handbook.

[4]  Umberto Straccia,et al.  Managing uncertainty and vagueness in description logics for the Semantic Web , 2008, J. Web Semant..

[5]  Enrique H. Ruspini,et al.  On the semantics of fuzzy logic , 1991, Int. J. Approx. Reason..

[6]  Jordi Recasens.  Indistinguishability Operators - Modelling Fuzzy Equalities and Fuzzy Equivalence Relations , 2011, Studies in Fuzziness and Soft Computing.

[7]  Zhiming Zhang,et al.  Similarity Measures for Retrieval in Case-Based Reasoning Systems , 1998, Appl. Artif. Intell..

[8]  Umberto Straccia,et al.  Fuzzy description logics under Gödel semantics , 2009, Int. J. Approx. Reason..

[9]  A. Tversky.  Features of Similarity , 1977 .

[10]  Eyke Hüllermeier,et al.  Case-Based Approximate Reasoning , 2007, Theory and Decision Library.

[11]  R. Belohlávek.  Fuzzy Relational Systems: Foundations and Principles , 2002 .

[12]  Petr Hájek,et al.  Making fuzzy description logic more general , 2005, Fuzzy Sets Syst..

[13]  Umberto Straccia,et al.  Supporting Fuzzy Rough Sets in Fuzzy Description Logics , 2009, ECSQARU.

[14]  Alexander Borgida,et al.  Towards Measuring Similarity in Description Logics , 2005, Description Logics.

[15]  Steffen Staab,et al.  On the Influence of Description Logics Ontologies on Conceptual Similarity , 2008, EKAW.

[16]  Àngel García-Cerdaña,et al.  Fuzzy Description Logics and t-norm based fuzzy logics , 2010, Int. J. Approx. Reason..

[17]  Eyke Hüllermeier,et al.  Case-Based Approximate Reasoning (Theory and Decision Library B) , 2007 .

[18]  Ian Horrocks,et al.  The Even More Irresistible SROIQ , 2006, KR.

[19]  Franz Baader,et al.  A Scheme for Integrating Concrete Domains into Concept Languages , 1991, IJCAI.

[20]  Frank Wolter,et al.  A Logic for Concepts and Similarity , 2007, J. Log. Comput..