Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices

  title={Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices},
  author={Radim Belohl{\'a}vek},
  journal={Fundam. Inform.},
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. 

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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

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