Abstract
In this study we introduce a new class of a non-associative algebraic structure namely intra-regular Abel Grassmann's groupoid (AG-groupoid in short). We apply generalized fuzzy ideal theory to this class and discuss its related properties. We introduce (∈,∈∨q<sub>k</sub>) -fuzzy semiprime ideals in AG-groupoids and characterize it. Specifically we have characterized intra-regular AG-groupoids in terms of left, bi and two sided ideals and (∈,∈∨q<sub>k</sub>) -fuzzy left, bi and two sided ideals. For support of our arguments we give examples of AG-groupoids. At the end we characterize intra-regular AG-groupoids using the properties of (∈,∈∨q<sub>k</sub>) -fuzzy semiprime ideals.
Highlights
The real world has a lot of different aspects which are not usually been specified
In different fields of knowledge like engineering, medical science, mathematics, physics, computer science and artificial intelligence, many problems are simplified by constructing their "models"
These models are very complicated and it is impossible to find the exact solutions in many occasions
Summary
The real world has a lot of different aspects which are not usually been specified. In different fields of knowledge like engineering, medical science, mathematics, physics, computer science and artificial intelligence, many problems are simplified by constructing their "models". Proof: (i) ⇒ (iii) Assume that S is an intra-regular AG-groupoid and f and g are (∈,∈ ∨qk ) -fuzzy left and Proof: Let S be an AG-groupoid and f be an (∈,∈ ∨qk ) fuzzy left ideal of S.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
