On Multi-adjoint Concept Lattices: Definition and Representation Theorem

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.

• Type: Conference
• Year: 2007
• Where: ICFCA
• Authors: Jesús Medina, Manuel Ojeda-Aciego, Jorge Ruiz-Calviño
• Keywords: Concept Lattices, Formal Methods, ICFCA 2007, Multi-adjoint Concept Lattices, Representation Theorems