Towards multi-adjoint property-oriented concept lattices

  • Authors:
  • Jesús Medina

  • Affiliations:
  • Department of Mathematics, University of Cádiz

  • Venue:
  • RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
  • Year:
  • 2010

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Abstract

In this paper we present some properties related to adjoint triples when we consider dual supports. These results are used in order to generalize the classical property oriented concept lattices, which itself embeds rough set theory. Specifically, we define a fuzzy environment based on the philosophy of the multi-adjoint paradigm, which is related to the multi-adjoint concept lattice. As a consequence, we can move the properties from one to another.