Overcoming Non-commutativity in Multi-adjoint Concept Lattices

  • Authors:
  • Jesús Medina

  • Affiliations:
  • Dept. Matemáticas, Universidad de Cádiz, Spain

  • Venue:
  • IWANN '09 Proceedings of the 10th International Work-Conference on Artificial Neural Networks: Part I: Bio-Inspired Systems: Computational and Ambient Intelligence
  • Year:
  • 2009

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Abstract

Formal concept analysis has become an important and appealing research topic. In this paper, we present the t-concept lattice as a set of triples associated to graded tabular information interpreted in a non-commutative fuzzy logic, in order to "soften" the non-commutativity character. Moreover, we show that the common information to both (sided) concept lattices can be seen as a sublattice of the Cartesian product of both concept lattices.