Extensionality in Graded Properties of Fuzzy Relations

  title={Extensionality in Graded Properties of Fuzzy Relations},
  author={Libor Behounek},
New definitions of graded reflexivity, symmetry, transitivity, antisymmetry, and functionality of fuzzy relations are proposed which are relative to an indistinguishability relation E on the universe of discourse. It is shown that if considered nongraded (i.e., either fully present or else fully absent), the new definitions reduce to the usual ones under full extensionality of the relation w.r.t. E. However, if graded properties of R (e.g., transitivity to some degree) are taken into account… CONTINUE READING
Highly Cited
This paper has 26 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 12 references

Fuzzified properties of fuzzy relations

  • J. Jacas, J. Recasens
  • In Proceedings of the 9th IPMU Conference,
  • 2002
Highly Influential
2 Excerpts

Fuzzy Relational Systems: Foundations and Principles

  • R. Bělohlávek
  • 2002
Highly Influential
5 Excerpts

Hájek . On very true

  • P.
  • Fuzzy Sets and Systems
  • 1998

Similar Papers

Loading similar papers…