Abstract: In cryptology, the symmetry encryption and kinds of the public-key crypto systems are summarized for the operations of group. For the development of cryptology, it is necessary to study deeply the group theory. Therefore, we have studied the nature of right involution groupoid and its Fuzzy ideal. Suppose A to be the i-v Fuzzy set of right involution groupoid X, then a necessary and sufficient condition for the i-v Fuzzy subgroupoid (ideal) is presented.

Key words: right involution groupoid, i-v Fuzzy sets, i-v Fuzzy subgroupoid, i-v Fuzzy ideal