Intuitionistic Fuzzy Sets of Cube Root Type is introduced in this book. It deals with the properties of the newly defined sets. Several topological operators are developed. The operators:Necessity, Possibility, Topological closure, Topological interior are defined and their relation over IFSCRT are discussed. Modal operators are also developed. Interval valued Intuitionistic Fuzzy Sets of Cube Root Type is a new direction in this field. Real time applications to diagnostic medicine and pattern recognition using a newly developed similarity measure are presented. This book is intended for those who intend to do research in developing real time applications of Intuitionistic Fuzzy Sets of Cube Root Type.