University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412220150429Generated $textbf{textit{L}}$-subgroup of an $textbf{textit{L}}$-group129136198810.22111/ijfs.2015.1988ENNaseemAjmalDepartment of Mathematics, Zakir Husain Delhi College,, J.N.Marg,
University of Delhi, Delhi-110006, IndiaIffatJahanDepartment of Mathematics, Ramjas College,, University of Delhi,,
Delhi-110007, IndiaJournal Article20130726In this paper, we extend the construction of a fuzzy subgroup generated by a fuzzy subset to $L$-setting. This construction is illustrated by an example. We also prove that for an $L$-subset of a group, the subgroup generated by its level subset is the level subset of the subgroup generated by that $L$-subset provided the given $L$-subset possesses sup-property.https://ijfs.usb.ac.ir/article_1988_1a3e3cd32dc886edfac691c6b2b2e9e0.pdf