Elsevier

Fuzzy Sets and Systems

Volume 90, Issue 3, 16 September 1997, Pages 365-368
Fuzzy Sets and Systems

Short communication
On some results of analysis for fuzzy metric spaces

https://doi.org/10.1016/S0165-0114(96)00207-2Get rights and content

Abstract

A necessary and sufficient condition for a fuzzy metric space to be complete is given. We prove that a subspace of a separable fuzzy metric space is separable and every separable fuzzy metric space is second countable. Uniform limit theorem is generalized to fuzzy metric spaces.

References (10)

  • G. Bachmann et al.

    Functional Analysis

    (1966)
  • Deng Zi-Ke

    Fuzzy pseudo-metric spaces

    J. Math. Anal. Appl.

    (1982)
  • M.A. Erceg

    Metric spaces in fuzzy set theory

    J. Math. Anal. Appl.

    (1979)
  • A. George et al.

    On some results in fuzzy metric spaces

    Fuzzy Sets and Systems

    (1994)
  • M. Grabiec

    Fixed points in fuzzy metric spaces

    Fuzzy Sets and Systems

    (1989)
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