Abstract

In this study, we have introduced the notion of Γ-fuzzification in Γ-AG-groupoids which is in fact the generalization of fuzzy AG-groupoids. We have studied several properties of an intra-regular Γ-AG** -groupoids in terms of fuzzy Γ-left (right, two-sided, quasi, interior, generalized bi-, bi-) ideals. We have proved that all fuzzy Γ-ideas coincide in intra-regular Γ-AG** -groupoids We have also shown that the set of fuzzy Γ-two-sided ideals of an intra-regular Γ-AG**-groupoid forms a semilattice structure.

Keywords:

Γ-AG-subgroupoid, Γ-AG**-groupoid, Γ-AG**-groupoid and intra-regular, fuzzy subset, fuzzy Γ - ideals, fuzzy Γ-AG-groupoid,

References

Competing interests

The authors have no competing interests.

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The authors have no competing interests.