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Pseudometrics associated with fuzzy relations having weak properties

  • Pedro J. Burillo
  • León A. González
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 356)

Abstract

In this paper we study the relation existing between fuzzy preorders and similarities on a set X, their operations, and the pseudo-metrics and quasi-uniformities on it.

Key words

Fuzzy preorder fuzzy similarity quasi-uniformity pseudometric 

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References

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    P. J. BURILLO and L. A. GONZALEZ, Uniformidades asociadas a relaciones difusas. Actas XII Jornadas luso-españolas de Matem. Braga, Portugal (1987).Google Scholar
  2. 2.
    L. CAIRE and U. CCERRUTI, Fuzzy relational spaces, Rendiconti Sem. Mat. Univ. Cagliari 47(1977) supp., 63–87.Google Scholar
  3. 3.
    D. DUBOIS and H. PRADE, Fuzzy Sets and Systems, Acad.Press, N.Y. (1980).Google Scholar
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    J.L. KELLEY, General Topology, Van Nostrand, N.Y. (1955).Google Scholar
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    E. TRILLAS, Conjuntos Borrosos, Vicens-Vives, Barcelona (1980).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Pedro J. Burillo
    • 1
  • León A. González
    • 1
  1. 1.Departamento de MatemáticasUniversidad de Alcalá de Henares Aptdo. 20Alcalá de Henares (Madrid)España

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