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Using the belongs to relation (∈) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (θ,ψ)-fuzzy implicative filters where θ, ψ are any two of {∈,q,∈∨q,∈∧q} with θ≠∈∧q is introduced, and related properties are discussed. Relations between (∈∨q,∈∨q)-fuzzy implicative filters and (∈,∈∨q)-fuzzy implicative filters are investigated, and conditions for an (∈,∈∨q)-fuzzy implicative filter to be an (∈,∈)-fuzzy implicative filter are provided. Characterizations of (∈,∈∨q)-fuzzy implicative filters are given, and conditions for a fuzzy set to be a (q,∈∨q)-fuzzy implicative filter are provided.