J. Vimala, J. Arockia Reeta, P. Bharathi, Algebraic Applications on l-Fuzzy Soft Group, International Journal of Soft Computing, Volume 12,Issue 5, 2017, Pages 322-328, ISSN 1816-9503, ijscomp.2017.322.328, (https://makhillpublications.co/view-article.php?doi=ijscomp.2017.322.328) Abstract: In this research, we extend the notion of l-fuzzy soft function and l-fuzzy soft homomorphism on l-fuzzy soft group. Furthermore, we discuss some theorems of homomorphic image and homomorphic pre-image of an l-fuzzy soft group under an l-fuzzy soft function. And we study some properties of l-fuzzy soft groups. Keywords: l-fuzzy soft group;l-fuzzy soft function;l-fuzzy soft homomorphism;properties;homomorphic;extend