Fuzzy Ideal Supra Topological Spaces

الملخص EN

In this paper, we introduce the notion of fuzzy ideals in fuzzy supra topological spaces.

The concept of a fuzzy s-local function is also introduced here by utilizing the s-neighbourhood structure for a fuzzy supra topological space.

These concepts are discussed with a view to find new fuzzy supra topologies from the original one.

The basic structure, especially a basis for such generated fuzzy supra topologies, and several relations between different fuzzy ideals and fuzzy supra topologies are also studied here.

Moreover, we introduce a fuzzy set operator ΨS and study its properties.

Finally, we introduce some sets of fuzzy ideal supra topological spaces (fuzzy ∗-supra dense-in-itself sets, fuzzy S∗-supra closedsets, fuzzy ∗-supra perfect sets, fuzzy regular-I-supra closedsets, fuzzy-I-supra opensets, fuzzy semi-I-supra opensets, fuzzy pre-I-supra opensets, fuzzy α-I-supra opensets, and fuzzy β-I-supra opensets) and study some characteristics of these sets, and then, we introduce some fuzzy ideal supra continuous functions.