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Uncertain lightweight ontologies in a product-based possibility theory framework.

Abstract : This paper investigates an extension of lightweight ontologies, encoded here in DL-Lite languages, to the product-based possibility theory framework. We first introduce the language (and its associated semantics) used for representing uncertainty in lightweight ontologies. We show that, contrarily to a min-based possibilistic DL-Lite, query answering in a product-based possibility theory is a hard task. We provide equivalent transformations between the problem of computing an inconsistency degree (the key notion in reasoning from a possibilistic DL-Lite knowledge base) and the weighted maximum 2-Horn SAT problem. The last part of the paper provides an encoding of the problem of computing inconsistency degree in product-based possibility DL-Lite as a weighted set cover problem and the use of a greedy algorithm to compute an approximate value of the inconsistency degree. This encoding allows us to provide an approximate algorithm for answering instance checking queries in product-based possibilistic DL-Lite. Experimental studies show the quality of the approximate algorithms for both inconsistency degree computation and instance checking queries
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https://hal-univ-artois.archives-ouvertes.fr/hal-03299544
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Submitted on : Monday, July 26, 2021 - 3:24:24 PM
Last modification on : Saturday, June 25, 2022 - 7:49:40 PM

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Khaoula Boutouhami, Salem Benferhat, Faiza Khellaf, Farid Nouioua. Uncertain lightweight ontologies in a product-based possibility theory framework.. International Journal of Approximate Reasoning, Elsevier, 2017, 88, pp.237-258. ⟨10.1016/j.ijar.2017.05.012⟩. ⟨hal-03299544⟩

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