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Abstract In this thesis we study a new concept which is called rough convex set with respect to an equivalence relation in the Euclidean space .Also, we introduced new kinds for generalized rough convex sets which are called relative rough convex and rough starshaped sets and discuss some geometrical and topological properties of these sets. Finally, we defined a new concept for relation which is called rough relation and explained some properties for the cartesian product of two rough relations and also of two rough convex sets |