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Fuzzy mathematics is a very important subject in mathematics. We want to explain this in algebra and use the softness. In fact, we define all the ideals and rings in fuzzy mathematics with the help of softness and we obtain new and important results. In this book,we apply norms over intuitionistic fuzzy subrings and ideals of a ring. We introduce the notions of intuitionistic fuzzy subrings and ideals of a ring with respect a t-norm T and a t-conorm C and investigate some related properties under homomorphism.