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Interval-Valued Fuzzy Extension of Formal Concept Analysis for Information Retrieval

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Neural Information Processing (ICONIP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7663))

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Abstract

In this paper, we propose an information retrieval approach based on interval-valued fuzzy theory which allows to express the total and partial ignorance in the knowledge domain (i.e the incidence matrix). Hence, we propose i) to deal with the presence of partial or total ignorance in the knowledge domain; ii) the application of different interval-valued fuzzy generalized derivations operators to express different queries forms, namely conjunctive and disjunctive queries as well as negation in the queries; iii) the linearization of the lattice structure of formal concepts satisfying a given query based on hamming distance in order to enhance lattice navigation.

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References

  1. Alcalde, C., Burusco, A., Fuentes-González, R.: Interval-valued fuzzy propositions. an application to the l-fuzzy contexts with absent values. In: Carvalho, J.P., Dubois, D., Kaymak, U., da Costa Sousa, J.M. (eds.) IFSA/EUSFLAT Conf., pp. 58–63 (2009)

    Google Scholar 

  2. Carpineto, C., Romano, G.: Effective Reformulation of Boolean Queries with Concept Lattices. In: Andreasen, T., Christiansen, H., Larsen, H.L. (eds.) FQAS 1998. LNCS (LNAI), vol. 1495, pp. 83–94. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Carpineto, C., Romano, G.: Exploiting the potential of concept lattices for information retrieval with credo. Journal of Universal Computer Science 10, 985–1013 (2004)

    Google Scholar 

  4. Cole, R., Stumme, G.: CEM - A Conceptual Email Manager. In: Ganter, B., Mineau, G.W. (eds.) ICCS 2000. LNCS (LNAI), vol. 1867, pp. 438–452. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  5. Djouadi, Y.: Extended Galois Derivation Operators for Information Retrieval Based on Fuzzy Formal Concept Lattice. In: Benferhat, S., Grant, J. (eds.) SUM 2011. LNCS, vol. 6929, pp. 346–358. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Djouadi, Y.: Généralisation des opérateurs de dérivation de galois en recherche d’information basée sur l’analyse formelle de concepts. In: Conférence Francophone en Recherche d’Information et Applications (CORIA), Bordeaux, France, March 21-23, Archives and Museum Informatics (2012)

    Google Scholar 

  7. Dubois, D., Dupin de Saint Cyr Bannay, F., Prade, H.: A possibilty-theoretic view of formal concept analysis. Fundamenta Informaticae 75(1-4), 195–213 (2007)

    MathSciNet  MATH  Google Scholar 

  8. Ganter, B., Wille, R.: Formal concept analysis - mathematical foundations. Springer (1999)

    Google Scholar 

  9. Godin, R., Saunders, E., Gecsei, J.: Lattice model of browsable data spaces. Information Sciences 40(2), 89–116 (1986)

    Article  MATH  Google Scholar 

  10. Grzegorzewski, P.: Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the hausdorff metric. Fuzzy Sets and Systems 148, 319–328 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  11. Koester, B.: Conceptual Knowledge Retrieval with FooCA: Improving Web Search Engine Results with Contexts and Concept Hierarchies. In: Perner, P. (ed.) ICDM 2006. LNCS (LNAI), vol. 4065, pp. 176–190. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. Latiri-Cherif, C., Chevallet, J.P., Elloumi, S., Jaoua, A.: Une Extension de la Connexion de Galois Floue pour la Recherche d’Information. Revue I3: Information - Interaction - Intelligence 3(2), 1–44 (2004)

    Google Scholar 

  13. Nauer, E., Toussaint, Y.: Classification dynamique par treillis de concepts pour la recherche d’information sur le web. In: CORIA, Université de Renne 1, pp. 71–86 (2008)

    Google Scholar 

  14. Salton, G.: Automatic Information Organization and Retrieval. McGraw-Hill, New York (1968)

    Google Scholar 

  15. Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered Sets, Boston, pp. 445–470 (1982)

    Google Scholar 

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Zerarga, L., Djouadi, Y. (2012). Interval-Valued Fuzzy Extension of Formal Concept Analysis for Information Retrieval. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34475-6_73

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  • DOI: https://doi.org/10.1007/978-3-642-34475-6_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34474-9

  • Online ISBN: 978-3-642-34475-6

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