Ain Shams University - Faculty of Education, Mathematics Dept., Cairo-Egypt.
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.
Fuzzy topological spaces, intutionistic fuzzy sets, intutionistic fuzzy topological spaces, δ – continuity, near compactness