On fuzzy-Γ-ideals of Γ-Abel-Grassmann's groupoids

2010/11/05 by Madad Khan, Khan, Madad, Faisal Faisal +1
Decision Sciences · Mathematics · #Fuzzy and Soft Set Theory #math.GR

paper · pdf · doi:10.48550/arxiv.1011.1367

arxiv created 2010/11/05 · arxiv updated 2010/11/08

Abstract

In this paper, 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-ideals 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.

Related

• Γ-Abel-Grassmann's groupoids characterized by their intuitionistic Γ-ideals
• Characterizations of Abel-Grassmann's groupoids by their intuitionistic fuzzy ideals
• Intra regular Abel-Grassmann's groupoids characterized by their intuitionistic fuzzy ideals
• Fuzzy Abel Grassmann's Groupoids
• Abel-Grassmann's groupoids characterized by (∈ ,∈ \vee q_k) fuzzy bi-ideals