It is subjective in some ways that intuitionistic fuzzy sets use membership and non-membership functions to describe uncertain information. In order to study essential characters of the intuitionistic fuzzy set, a new method of structured analysis of intuitionistic fuzzy set is proposed. A new definition of intuitionistic fuzzy tolerance relation is presented. Isomorphic criteria about the intuitionistic fuzzy set are given, and the structured character of the intuitionistic fuzzy set is discussed. These results demonstrate the objectivity of the intuitionistic fuzzy set.