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Open AccessArticle

Algorithms for Instance Retrieval and Realization in Fuzzy Ontologies

1
Department of Computer Science and Systems Engineering, University of Zaragoza, 50009 Zaragoza, Spain
2
Aragon Institute of Engineering Research (I3A), 50018 Zaragoza, Spain
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 154; https://doi.org/10.3390/math8020154
Received: 31 December 2019 / Revised: 10 January 2020 / Accepted: 19 January 2020 / Published: 22 January 2020
(This article belongs to the Special Issue Mathematical Methods in Artificial Intelligence)
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. View Full-Text
Keywords: fuzzy ontologies; fuzzy description logics; semantic reasoning fuzzy ontologies; fuzzy description logics; semantic reasoning
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Huitzil, I.; Bernad, J.; Bobillo, F. Algorithms for Instance Retrieval and Realization in Fuzzy Ontologies. Mathematics 2020, 8, 154.

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