SOME RESULTS ON INTUITIONISTIC FUZZY SPACES

Authors

  • Donal O’Regan Department of Mathematics, National University of Ireland, Galway, Ireland
  • Reza Saadati Department of Mathematics, Islamic Azad University-Ayatollah Amoly Branch, Amol, Iran and Institute for Studies in Applied Mathematics 1, Fajr 4, Amol 46176-54553, Iran
  • S. B. Hosseini Islamic Azad University-Nour Branch, Nour, Iran
Abstract:

In this paper we define intuitionistic fuzzy metric and normedspaces. We first consider finite dimensional intuitionistic fuzzy normed spacesand prove several theorems about completeness, compactness and weak convergencein these spaces. In section 3 we define the intuitionistic fuzzy quotientnorm and study completeness and review some fundamental theorems. Finally,we consider some properties of approximation theory in intuitionistic fuzzymetric spaces.

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Journal title

volume 4  issue 1

pages  53- 64

publication date 2007-04-09

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