Linear fuzzy neighborhood spaces

  • Authors:
  • A. K. Katsaras

  • Affiliations:
  • -

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 1985

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Abstract

Some of the properties of linear fuzzy neighborhood spaces are studied. A special class of these spaces is the family of all fuzzy linear spaces whose topology is given by probabilistic seminorms. As in the classical case, it is shown that a linear fuzzy neighborhood space is probabilistic normable iff it is Hausdorff and it has an n-bounded convex fuzzy neighborhood of zero.