Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an(α ,β ) -fuzzy subalgebraic hypersystem in an algebraic hypersystem, which is a generalization of a fuzzy subalgebraic system, is introduced, and related properties are investigated. In particular, the study of (∈,∈,∨q) -fuzzy subalgebraic hypersystems of an algebraic hypersystem are dealt with. Finally, we consider the concept of implication-based fuzzy subalgebraic hypersystems.