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Algorithms for Instance Retrieval and Realization in Fuzzy Ontologies

Author

Listed:
  • Ignacio Huitzil

    (Department of Computer Science and Systems Engineering, University of Zaragoza, 50009 Zaragoza, Spain)

  • Jorge Bernad

    (Department of Computer Science and Systems Engineering, University of Zaragoza, 50009 Zaragoza, Spain
    Aragon Institute of Engineering Research (I3A), 50018 Zaragoza, Spain)

  • Fernando Bobillo

    (Department of Computer Science and Systems Engineering, University of Zaragoza, 50009 Zaragoza, Spain
    Aragon Institute of Engineering Research (I3A), 50018 Zaragoza, Spain)

Abstract

Fuzzy description logics, the formalism behind fuzzy ontologies, are an important mathematical method with applications in many artificial intelligence scenarios. This paper proposes the first specific algorithms to solve two reasoning tasks with respect to a fuzzy ontology: the instance retrieval and the realization problem. Our algorithms are based on a reduction of the number of optimization problems to solve by merging some of them. Our experimental evaluation shows that the novel algorithm to solve the instance retrieval outperforms the previous algorithm, and that in practice it is common to be able to solve a single optimization problem.

Suggested Citation

  • Ignacio Huitzil & Jorge Bernad & Fernando Bobillo, 2020. "Algorithms for Instance Retrieval and Realization in Fuzzy Ontologies," Mathematics, MDPI, vol. 8(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:154-:d:311856
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