%0 Journal Article %T Generalized Intuitionistic Fuzzy Ideals Topological Spaces %J American Journal of Mathematics and Statistics %@ 2162-8475 %D 2013 %I %R 10.5923/j.ajms.20130301.03 %X In this paper we introduce the notion of generalized intuitionistic fuzzy ideals which is considered as a generalization of fuzzy intuitionistic ideals studies in[6], the important generalized intuitionistic fuzzy ideals has been given. The concept of generalized intuitionistic fuzzy local function is also introduced for a generalized intuitionistic fuzzy topological space. These concepts are discussed with a view to find new generalized intuitionistic fuzzy topology from the original one in[5, 7]. The basic structure, especially a basis for such generated generalized intuitionistic fuzzy topologies and several relations between different generalized intuitionistic fuzzy ideals and generalized intuitionistic fuzzy topologies are also studied here. %K Generalized Intuitionistic Fuzzy Ideals %K Intuitionistic Fuzzy Ideals %K Intuitionistic Fuzzy Local Function %U http://article.sapub.org/10.5923.j.ajms.20130301.03.html