A contribution to the study of fuzzy metric spaces

• Sapena Piera, Almanzor ^[1]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 1, 2001, págs. 63-75
• Idioma: inglés
• DOI: 10.4995/agt.2001.3016
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• Dialnet Métricas: 4 Citas
• Resumen

  • We give some examples nad properties of fuzzy metric spaces, in the sense of George and Veramani, and characterize the To topological spaces which admit a compatible uniformity that has a countable transitive base, in terms of the fuzzy theory.

• Referencias bibliográficas
  • V. Gregori and S. Romaguera, On completion of fuzzy metric spaces, preprint.
  • O. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica, 11 (1975), 326–334.
  • B. Schweizer and A. Sklar, Probabilistic Metric Spaces, Elsevier Science Publishing Co., New York (1983).
  • B. Schweizer and A. Sklar, Statistical metric spaces, Pacific Journal of Mathematics, 10 (1960), 314–334.