Vassiliev introduced filtered invariants of knots using an unknotting operation, called crossing changes. Goussarov, Polyak, and Viro introduced other filtered invariants of virtual knots, which order is called GPV-order, using an unknotting operation, called virtualization. We defined other filtered invariants, which order is called F-order, of virtual knots using an unknotting operation, called forbidden moves. In this paper, we show that the set of virtual knot invariants of F-order <= n+ 1 is strictly stronger than that of F-order <= n and that of GPV-order <= 2n+1. To obtain the result, we show that the set of virtual knot invariants of F-order <= n contains every Goussarov-Polyak-Viro invariant of GPV-order <= 2n + 1, which implies that the set of virtual knot invariants of F-order is a complete invariant of classical and virtual knots. (C) 2019 Elsevier B.V. All rights reserved.