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Probabilistic metric spaces

  • Olga Hadžić
  • Endre Pap
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 536)

Abstract

In 1942 K. Menger introduced the notion of a statistical metric space as a natural generalization of the notion of a metric space (M, d) in which the distance d(p, q) (p, qM) between p and q is replaced by a distribution function F p, q ∈ Δ+. F p,q (x) can be interpreted as the probability that the distance between p and q is less than x.

Keywords

Fuzzy Number Topological Vector Space Probabilistic Generalization Joint Distribution Function Triangle Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Olga Hadžić
    • 1
  • Endre Pap
    • 1
  1. 1.Institute of MathematicsUniversity of Novi SadYugoslavia

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