International Conference on Scalable Uncertainty Management

SUM 2015: Scalable Uncertainty Management pp 385-398 | Cite as

Fuzzy XPath for the Automatic Search of Fuzzy Formulae Models

  • Jesús M. Almendros-Jiménez
  • Miquel Bofill
  • Alejandro Luna-Tedesqui
  • Ginés Moreno
  • Carlos Vázquez
  • Mateu Villaret
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9310)

Abstract

In this paper we deal with propositional fuzzy formulae containing several propositional symbols linked with connectives defined in a lattice of truth degrees more complex than Bool. Instead of focusing on satisfiability (i.e., proving the existence of at least one model) as usually done in a SAT/SMT setting, our interest moves to the problem of finding the whole set of models (with a finite domain) for a given fuzzy formula. We reuse a previous method based on fuzzy logic programming where the formula is conceived as a goal whose derivation tree, provided by our FLOPER tool, contains on its leaves all the models of the original formula, together with other interpretations. Next, we use the ability of the FuzzyXPath tool (developed in our research group with FLOPER) for exploring these derivation trees once exported in XML format, in order to discover whether the formula is a tautology, satisfiable, or a contradiction, thus reinforcing the bi-lateral synergies between FuzzyXPath and FLOPER.

Keywords

Fuzzy logic programming Automatic theorem proving Fuzzy XPath 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Jesús M. Almendros-Jiménez
    • 1
  • Miquel Bofill
    • 2
  • Alejandro Luna-Tedesqui
    • 3
  • Ginés Moreno
    • 3
  • Carlos Vázquez
    • 3
  • Mateu Villaret
    • 2
  1. 1.Department of Languages and ComputationUniversity of AlmeríaAlmeríaSpain
  2. 2.Department of Computer Science, Applied Mathematics and StatisticsUniversity of GironaGironaSpain
  3. 3.Department of Computing SystemsUniversity of Castilla-La ManchaAlbaceteSpain

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