Advances in Fuzzy Mathematics
  • Year: 2008
  • Volume: 3
  • Issue: 1

Intutionistic Fuzzy δ-Continuity and (λ1, λ2) – near Compactness in Intutionistic Fuzzy Topological Spaces

  • Author:
  • S. A. El-Sheikh
  • Total Page Count: 16
  • Page Number: 27 to 42

Ain Shams University - Faculty of Education, Mathematics Dept., Cairo-Egypt.

Abstract

The concept of a fuzzy δ-continuity in fuzzy topological spaces was introduced by Soha [20] and (Allam and Zahran [1]). In [14, 16, 18] the notion of nearly compactness has been introduced. In this paper, we introduce the notion of fuzzy δ-continuity in intutionistic fuzzy topological spaces (IFTS's, for short) and give a characterization of such notion. Also, we introduce the notion of (λ1, λ2)-near compact which depends on the notion of (λ1, λ2)-shading. Finally, we investigate the image of (λ1, λ2)-nearly compact spaces under some types of continuous functions.

Keywords

Fuzzy topological spaces, intutionistic fuzzy sets, intutionistic fuzzy topological spaces, δ – continuity, near compactness