2009/04/01 by Madad Khan, Khan, Madad, Muhammad Nouman Aslam Khan +1
Computer Science · Decision Sciences · Mathematics · #20M10 #20N990 #FOS: Mathematics #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #Group Theory (math.GR) #Rough Sets and Fuzzy Logic #math.GR #msc:20M10 #msc:20N990
paper · pdf · doi:10.48550/arxiv.0904.0077
9 pages
arxiv created 2009/04/01 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper we have studied the concept of fuzzification in AG-groupoids. The equivalent statement for an AG-groupoid to be a commutative semigroup is proved. Fuzzy points have been defined in an AG-groupoid and has been shown the representation of smallest fuzzy left ideal generated by a fuzzy point. The set of all fuzzy left ideals, which are idempotents, forms a commutative monoid. The relation of fuzzy left(right) ideals, fuzzy interior ideals and fuzzy bi-ideals in AG-groupoid has been studied. Necessary and sufficient condition of fully fuzzy prime AG-groupoid has been shown. Further, It has been shown that the set of fuzzy quasi-prime ideals of AG-groupoid with left identity forms a semillattice structure. Moreover, equivalent statements for fuzzy semiprime left ideal in an AG-groupoid have been proved.