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This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some related properties. Moreover, we give a number of characterizations for regular AG-groupoids by virtue of various types of fuzzy soft ideals over them.

In this paper, we introduce (∈γ, ∈γ ∨qδ)-fuzzy right ideals in an AG-groupoid. We characterize intra-regular AG-groupoids using the properties of (∈γ, ∈γ ∨qδ)-fuzzy subsets and (∈γ, ∈γ ∨qδ)-fuzzy right ideals.

We characterize intra-regular Abel-Grassmann's groupoids by the properties of their ideals and $(\in ,\in\!\vee q_{k})$-fuzzy ideals of various types. [ABSTRACT FROM AUTHOR]

In this paper, we introduce (∈γ, ∈γ ∨ qδ)-fuzzy right ideals in an AG-groupoid. We characterize intra-regular AG-groupoids using the properties of (∈γ, ∈γ ∨ qδ)-fuzzy subsets and (∈γ, ∈γ ∨ qδ)-fuzzy right ideals. [ABSTRACT FROM AUTHOR]