Fuzzy ideal supra topological spaces (Q2036531)

Summary: 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 \(\Psi_S\) and study its properties. Finally, we introduce some sets of fuzzy ideal supra topological spaces (fuzzy \(\ast \)-supra dense-in-itself sets, fuzzy \(S^\ast \)-supra closedsets, fuzzy \(\ast \)-supra perfect sets, fuzzy regular-I-supra closedsets, fuzzy-I-supra opensets, fuzzy semi-I-supra opensets, fuzzy pre-I-supra opensets, fuzzy \(\alpha \)-I-supra opensets, and fuzzy \(\beta \)-I-supra opensets) and study some characteristics of these sets, and then, we introduce some fuzzy ideal supra continuous functions.