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In this book we study the definition of intuitionistic fuzzy set, intuitionistic fuzzy topology, product of intuitionistic fuzzy set, product of intuitionistic fuzzy topology, continuous mappings. The study also introduces the properties and results about them. After that we write the definition of balanced intuitionistic fuzzy set, affine intuitionistic fuzzy set, convex intuitionistic fuzzy set, intuitionistic fuzzy subspace, we prove the some results. We also define intuitionistic fuzzy W- neighborhood, intuitionistic fuzzy R- neighborhood, intuitionistic fuzzy Q- neighborhood, intuitionistic fuzzy W- neighborhood base, intuitionistic fuzzy Q- neighborhood base, intuitionistic fuzzy topological vector space, intuitionistic fuzzy locally convex, intuitionistic fuzzy locally bounded intuitionistic fuzzy stratified structure, intuitionistic fuzzy norm and we prove some results about them.