In this paper, we introduce the notions of an almost φ-fuzzy subalgebra and an almost φ-fuzzy semi-ideal in groupoids by using the concept of a function. This concepts are generalizations of a fuzzy subalgebra and a fuzzy ideal in groupoids respectively. We discuss some relations between almost φ-fuzzy subalgebras and vanishing, level subsets. By introducing the notions of (μ, φ)-extremes, e-ideals, we obtain several properties of almost φ-fuzzy subalgebras. The relations between almost φ-fuzzy semi-ideals and (μ, φ)-special elements are discussed. Finally we discuss fuzzy algebraic structures of almost φ-fuzzy semi-ideals by diagrams.
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