As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li [3], the notion of (${in}$, ${in}{vee}q_k$)-fuzzy implicative filters is introduced, and related properties are investigated. The relationship between (${in}$, ${in}{vee}q_k$)-fuzzy filters and (${in}$, ${in}{vee}q_k$)-fuzzy implicative filters is established. Conditions for an (${in}$, ${in}{vee}q_k$)-fuzzy filter to be an (${in}$, ${in}{vee}q_k$)-fuzzy implicative filter are considered. Characterizations of an (${in}$, ${in}{vee}q_k$)-fuzzy implicative filter are provided, and the implication-based fuzzy implicative filters of an $R_0$-algebra is discussed.