Abstract
The purpose of the article is to study about double framed soft fuzzy biideals of gamma near-ring R and their some results. We have proved that the uni-int and int-uni of double framed soft fuzzy bi-ideals of gamma near-ring R are also a double framed soft fuzzy bi-ideal of gamma near-ring R. We investigated some related properties of double framed soft fuzzy bi-ideal of R using homomorphism and anti-homomorphism. We establish the relationship between bi-ideal and double framed soft fuzzy bi-ideal of R. In this paper we also discuss about double framed soft fuzzy interior ideal of gamma near-ring R and their some results.