International Journal of Mathematics and Mathematical Sciences (Jan 2011)

Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces

  • M. E. El-Shafei,
  • A. H. Zakari

DOI
https://doi.org/10.1155/2011/853870
Journal volume & issue
Vol. 2011

Abstract

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We investigate various classes of generalized closed fuzzy sets in [0,1]-topological spaces, namely, Wθg-closed fuzzy sets and Wδg-closed fuzzy sets. Also, we introduce a new separation axiom FT3/4∗ of the [0,1]-topological spaces, and we prove that every FT3/4∗-space is a FT3/4-space. Furthermore, we using the new generalized closed fuzzy sets to construct new types of fuzzy mappings.