A Formal Model of Fuzzy Ontology with Property Hierarchy and Object Membership

In this paper, we propose a formal model of fuzzy ontology with property hierarchy by combining theories in cognitive psychology and fuzzy set theory. A formal mechanism used to determine object memberships in concepts is also proposed. In this mechanism, object membership is based on the defining properties of concepts and properties which objects possess. We show that our model is more reasonable in calculating object memberships and more powerful in concept representation than previous models by an example.

[1]  Steffen Staab,et al.  International Handbooks on Information Systems , 2013 .

[2]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[3]  Yair Wand,et al.  Attribute-Based Semantic Reconciliation of Multiple Data Sources , 2003, J. Data Semant..

[4]  Ho-fung Leung,et al.  Ontology with Likeliness and Typicality of Objects in Concepts , 2006, ER.

[5]  Clare R. Voss,et al.  Fuzzy ontologies for multilingual document exploitation , 1999, 18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397).

[6]  G. Murphy,et al.  The Big Book of Concepts , 2002 .

[7]  K. Galotti.  Cognitive psychology in and out of the laboratory , 1993 .

[8]  Umberto Straccia,et al.  A Fuzzy Description Logic , 1998, AAAI/IAAI.

[9]  Ian Horrocks,et al.  The Fuzzy Description Logic f-SHIN , 2005, ISWC-URSW.

[10]  David W. Embley,et al.  Conceptual Modeling - ER 2006, 25th International Conference on Conceptual Modeling, Tucson, AZ, USA, November 6-9, 2006, Proceedings , 2006, ER.

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

[12]  Frank van Harmelen,et al.  A semantic web primer , 2004 .

[13]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[14]  Umberto Straccia,et al.  Towards a Fuzzy Description Logic for the Semantic Web (Preliminary Report) , 2005, ESWC.

[15]  Ronald R. Yager,et al.  On mean type aggregation , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Edward E. Smith,et al.  Categories and concepts , 1984 .