Fuzzy description logics under Gödel semantics

  • Authors:

  • Fernando Bobillo;Miguel Delgado;Juan Gómez-Romero;Umberto Straccia

  • Affiliations:

  • Department of Computer Science and Systems Engineering, University of Zaragoza, Granada, Spain;Department of Computer Science and Artificial Intelligence, University of Granada, Spain;Department of Computer Science and Artificial Intelligence, University of Granada, Spain;Istituto di Scienza e Tecnologie dell'Informazione (ISTI), Consiglio Nazionale delle Ricerche (CNR), Pisa, Italy

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2009

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Abstract

Classical ontologies are not suitable to represent vague pieces of information, which has lead to the birth of Fuzzy Description Logics as an appropriate formalism to represent this type of knowledge. Different families of fuzzy operators lead to Fuzzy Description Logics with different properties. This paper studies Fuzzy Description Logics under a semantics given by the Godel family of fuzzy operators. We investigate some logical properties and show the decidability of a fuzzy extension of the logic SROIQ, theoretical basis of the language OWL 1.1, by providing a reasoning preserving procedure to obtain a crisp representation for it. Additionally, we show how to represent some types of concept and role modifiers.