Abstract

In this paper we introduce the notion of intuitionistic fuzzy ideals which is considered as a generalization of fuzzy ideals studies in [1, 2, 3, 11], the important intuitionistic fuzzy ideal has been given. The concept of intuitionistic fuzzy local function is also introduced here by utilizing theεneighborhood structure for an intuitionistic fuzzy topological space. These concepts are discussed with a view to find new intuitionistic fuzzy topology from the original one in [10, 12]. The basic structure, especially a basis for such generated intuitionistic fuzzy topologies and several relations between different intuitionistic fuzzy ideals and intuitionistic fuzzy topologies are also studied here. Finally, several properties of all investigated new notions are discussed.