A New View on AG-Groupoid Theory via Soft Sets for Uncertainty Modeling

Abstract

In this paper, the concepts soft union AG-groupoids, soft union left (right, two-sided) ideals, (generalized) bi-ideals, interior and quasi-ideals in AG-groupoids are introduced with many illustrating examples and their properties and interrelations are given. Moreover, regular, intra-regular, completely regular, weakly regular and quasi-regular AG-groupoids are characterized by the properties of these soft union ideals.