Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices

@article{Belohlvek2001ReductionAA,
  title={Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices},
  author={Radim Belohl{\'a}vek},
  journal={Fundam. Inform.},
  year={2001},
  volume={46},
  pages={277-285}
}
Presented is a reduction of fuzzy Galois connections and fuzzy concept lattices to (crisp) Galois connections and concept lattices: each fuzzy concept lattice can be viewed as a concept lattice (in a natural way). As a result, a simple proof of the characterization theorem for fuzzy concept lattices is obtained. The reduction enables us to apply the results worked out for concept lattices to fuzzy concept lattices. 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Lattice Theory, 3-rd edition

  • G. Birkhoff
  • AMS Coll. Publ. 25,
  • 1967
Highly Influential
3 Excerpts

: Discovering the World With Fuzzy Logic

  • V. Novák, I. Perfilieva
  • 2000

Fuzzy Galois connections and fuzzy concept lattices: from binary relations to conceptual structures

  • R. Bělohlávek
  • 2000
3 Excerpts

On the fundamentals of fuzzy set theory

  • U. Höhle
  • J. Math. Anal. Appl
  • 1996
1 Excerpt

Commutative, residuated l-monoids

  • U. Höhle
  • Kluwer (Theory and decision library),
  • 1995
1 Excerpt

The study of the L-fuzzy concept lattice

  • A. Burusco, R. Fuentes-González
  • Mathware & Soft Computing
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…