Formal concept analysis via multi-adjoint concept lattices

  • Authors:
  • Jesús Medina;Manuel Ojeda-Aciego;Jorge Ruiz-Calviòo

  • Affiliations:
  • Department Matemática Aplicada, Universidad de Málaga, Spain;Department Matemática Aplicada, Universidad de Málaga, Spain;Department Matemática Aplicada, Universidad de Málaga, Spain

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

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Abstract

Several fuzzifications of formal concept analysis have been proposed to deal with uncertain information. In this paper, we focus on concept lattices under a multi-adjoint paradigm, which enriches the language providing greater flexibility to the user in that he/she can choose from a number of different connectives. Multi-adjoint concept lattices are shown to embed different fuzzy extensions of concept lattices found in the literature, the main results of the paper being the representation theorem of this paradigm and the embedding of other well-known approaches.