One of the prominent requirements in group signature schemes is revoking group members who are misbehaved or resigned. Among the revocation approaches Verifier-local revocation (VLR) is more convenient than others because VLR requires updating only the verifiers with revocation messages. Accordingly, at the signature verification, the verifiers check whether the signer is not in the given revocation detail list. However, the cost of the revocation check increases linearly with the size of the revocation details. Moreover, original VLR group signature schemes rely on a weaker security notion. Achieving both efficient member revocation and reliably strong security for a group signature scheme is technically a challenge. This paper suggests a fully dynamic group signature scheme that performs an efficient member revocation with VLR and which is much more secure than the original VLR schemes.