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On Multi-adjoint Concept Lattices: Definition and Representation Theorem

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Formal Concept Analysis (ICFCA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4390))

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Abstract

Several fuzzifications of formal concept analysis have been proposed to deal with uncertainty or incomplete information. In this paper, we focus on the new paradigm of multi-adjoint concept lattices which embeds different fuzzy extensions of concept lattices, our main result being the representation theorem of this paradigm. As a consequence of this theorem, the representation theorems of the other paradigms can be proved more directly. Moreover, the multi-adjoint paradigm enriches the language providing greater flexibility to the user.

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Authors and Affiliations

  1. Dept. Matemática Aplicada. Universidad de Málaga,  

    Jesús Medina, Manuel Ojeda-Aciego & Jorge Ruiz-Calviño

Authors
  1. Jesús Medina
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  2. Manuel Ojeda-Aciego
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  3. Jorge Ruiz-Calviño
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Editor information

Sergei O. Kuznetsov Stefan Schmidt

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Medina, J., Ojeda-Aciego, M., Ruiz-Calviño, J. (2007). On Multi-adjoint Concept Lattices: Definition and Representation Theorem. In: Kuznetsov, S.O., Schmidt, S. (eds) Formal Concept Analysis. ICFCA 2007. Lecture Notes in Computer Science(), vol 4390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70901-5_13

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  • DOI: https://doi.org/10.1007/978-3-540-70901-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70828-5

  • Online ISBN: 978-3-540-70901-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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