2010/11/12 by Madad Khan, Khan, Madad, Faisal Faisal +3
Decision Sciences · Mathematics · #FOS: Mathematics #Fuzzy and Soft Set Theory #Group Theory (math.GR) #math.GR
paper · pdf · doi:10.48550/arxiv.1011.2845
arxiv created 2010/11/12 · openalex publication_date 2010/11/12 · arxiv updated 2010/11/15 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
In this paper, we have discussed several properties of intuitionistic fuzzy Γ-ideals of a Γ-AG-groupoid which is the generalization of ideals in AG-groupoid We have characterized an intra-regular Γ-AG**-groupoid in terms of intuitionistic fuzzy Γ-left (right, two-sided) ideals, intuitionistic fuzzy (Γ-generalized bi) Γ-bi-ideals, intuitionistic fuzzy Γ-interior ideals and intuitionistic fuzzy Γ-quasi ideals. We have proved that the intuitionistic fuzzy Γ-left (right, interior, quasi) ideals coincide in an intra-regular Γ-AG**-groupoid. We have also shown that the set of intuitionistic fuzzy Γ-two-sided ideals of an intra-regular Γ-AG**-groupoid forms a semilattice structure.