2014/03/15 by Imtiaz Ahmad, Amanullah, Ahmad, Imtiaz +2
Decision Sciences · Mathematics · #08A72 #20N25 #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #math.GM #msc:08A72 #msc:20N25
paper · pdf · doi:10.48550/arxiv.1403.3769
14 pages
arxiv created 2014/03/15 · openalex publication_date 2014/03/15 · arxiv updated 2014/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we extend the concept of fuzzy AG-subgroups. We introduce some results in normal fuzzy AG-subgroups. We define fuzzy cosets and quotient fuzzy AG-subgroups, and prove that the sets of their collection form an AG-subgroup and fuzzy AG-subgroup respectively. We also introduce the fuzzy Lagrange's Theorem of AG-subgroup. It is known that the condition μ(xy)=μ(yx) holds for all x,y in fuzzy subgroups if μ is normal, but in fuzzy AG-subgroup we show that it holds without normality.