Abstract: The notions of semi-open sets and semi-continuity in intuitionistic were introduced, their some properties were obtained: an intuitionistic fuzzy special set is an intuitionistic fuzzy special semi-open set if and only i f A  cl [ int ( A) ] , A_i : i∈I be an arbitrary family of IFSSOS's , then O is an I FSSOS, Let A  Y ~
X ~and A is an IFSSOS in(X , σ) , then A is an IFSSOS in ( Y, φ); Continucty implies semi-continuity but not conversely, Strongly semi-continuity implies semi-continuity but not conversely,The function f : X
Y is semi-continuous  f and only if for f ( x )
O, O is an IFSSOS in Y there exis ts and IFSSOS A in X such that x ∈A and f ( A )
O,The function f : X→Y is strongly semi- continuous if and only if the preimage of each IFSSCS in Y IFSSCS in X .

Key words: intuitionistic fuzzy special set, intuitionistic fuzzy special semi-open sets, semi-continuous, strongly semicontinuous