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Measuring Inconsistency Through Subformula Forgetting

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Scalable Uncertainty Management (SUM 2019)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11940))

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Abstract

In this paper, we introduce a new approach for defining inconsistency measures. The key idea consists in forgetting subformula occurrences in order to restore consistency. Thus, our approach can be seen as a generalization of the approach based on forgetting only propositional variables. We here introduce rationality postulates of inconsistency measuring that take into account in a syntactic way the internal structure of the formulas. We also describe different inconsistency measures that are based on forgetting subformula occurrences.

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Author information

Authors and Affiliations

  1. CRIL - CNRS & Université d’Artois, Lens, France

    Yakoub Salhi

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  1. Yakoub Salhi
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Correspondence to Yakoub Salhi .

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Editors and Affiliations

  1. Institut Supérieur de Gestion de Tunis, Bouchoucha, Tunisia

    Nahla Ben Amor

  2. University of Technology of Compiègne, Compiègne, France

    Benjamin Quost

  3. University of Luxembourg, Esch-Sur-Alzette, Luxembourg

    Martin Theobald

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Salhi, Y. (2019). Measuring Inconsistency Through Subformula Forgetting. In: Ben Amor, N., Quost, B., Theobald, M. (eds) Scalable Uncertainty Management. SUM 2019. Lecture Notes in Computer Science(), vol 11940. Springer, Cham. https://doi.org/10.1007/978-3-030-35514-2_14

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  • DOI: https://doi.org/10.1007/978-3-030-35514-2_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-35513-5

  • Online ISBN: 978-3-030-35514-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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