The fundamental notions and operations on Atanassov's Intuitionistic Fuzzy Sets are first introduced. Several extended techniques, i.e. those of max-min, arithmetic mean minimum, geometric mean minimum, correlative moduli and correlative exponents, for calculating the similarity on semantic match for intuitionistic fuzzy are proposed by making extensions of models for calculating similarity on Zedeh fuzzy sets with the emphasis on consideration of the effects of both the membership and the nonmembership. The applications are illustrated with examples, which further develops the approaches to calculating semantic matching degree on the intuitionistic fuzzy sets as an extension. Finally, intuitionistic fuzzy relations are investigated with the proof of a theorem on intuitionistic fuzzy similar matrix.