Affiliations: [a] Department of Mathematics, Abdul Wali Khan University, Mardan, KP, PAKISTAN
| [b] Department of Mathematics & Computer Science, University of Gjirokastra, Gjirokastra, ALBANIA
Correspondence:
[*]
Corresponding author. Muhammad Izhar, Department of Mathematics, Abdul Wali Khan University, Mardan, KP, PAKISTAN. E-mail: mizharmath@gmail.com.
Abstract: In this paper, we introduce double-framed soft bi-ideals (briefly DFS bi-ideals) and double-framed soft generalized bi-ideals (briefly DFS generalized bi-ideals) in AG-groupoids and some properties of them are investigated. Several characterizations of intra-regular AG-groupoids in terms of DFS left (resp. right) ideals, DFS bi-ideals, DFS generalized bi-ideals and semiprime class of them are provided.
Keywords: DFS-set, DFS AG-groupoid, DFS generalized bi-ideal, DFS bi-ideal, DFS int-uni product, DFS including set
