Generated $textbf{textit{L}}$-subgroup of an $textbf{textit{L}}$-group

نویسندگان

1 Department of Mathematics, Zakir Husain Delhi College,, J.N.Marg, University of Delhi, Delhi-110006, India

2 Department of Mathematics, Ramjas College,, University of Delhi,, Delhi-110007, India

doi
10.22111/ijfs.2015.1988
چکیده

In 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.