A representation theorem for probabilistic metric spaces in general

Mingxue Liu

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 3, page 551-554
  • ISSN: 0011-4642

Abstract

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In this paper, we present a representation theorem for probabilistic metric spaces in general.

How to cite

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Liu, Mingxue. "A representation theorem for probabilistic metric spaces in general." Czechoslovak Mathematical Journal 50.3 (2000): 551-554. <http://eudml.org/doc/30583>.

@article{Liu2000,
abstract = {In this paper, we present a representation theorem for probabilistic metric spaces in general.},
author = {Liu, Mingxue},
journal = {Czechoslovak Mathematical Journal},
keywords = {probabilistic metric space; probabilistic metric spaces; triangular norms},
language = {eng},
number = {3},
pages = {551-554},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A representation theorem for probabilistic metric spaces in general},
url = {http://eudml.org/doc/30583},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Liu, Mingxue
TI - A representation theorem for probabilistic metric spaces in general
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 3
SP - 551
EP - 554
AB - In this paper, we present a representation theorem for probabilistic metric spaces in general.
LA - eng
KW - probabilistic metric space; probabilistic metric spaces; triangular norms
UR - http://eudml.org/doc/30583
ER -

References

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  1. On probabilistic metrics and numerical metrics with probability 1, Czechoslovak Math. J. 9(84) (1959), 459–466. (1959) MR0110052
  2. 10.1016/0016-660X(78)90026-0, Gen. Topology Appl. 9 (1978), 233–237. (1978) MR0510904DOI10.1016/0016-660X(78)90026-0
  3. 10.1112/jlms/s1-44.1.441, J. London Math. Soc. 44 (1969), 441–448. (1969) Zbl0167.46202MR0240845DOI10.1112/jlms/s1-44.1.441
  4. Some PM structures on the set of distribution functions, Rev. Roumaine Math. Pures Appl. 10 (1974), 1251–1260. (1974) MR0380922
  5. Metrically generated probabilistic metric spaces, Fund. Math. 61 (1968), 259–269. (1968) Zbl0175.46504MR0250353

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