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

Author(s):

Naseem Ajmal , Iffat Jahan

Abstract:
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.
Keywords:

$L$ , algebra , $L$ , subgroup Normal $L$ , subgroup Generated $L$ , subgroup

Language:
English
Published:
Iranian journal of fuzzy systems, Volume:12 Issue: 2, Apr 2015
Pages:
129 to 136
https://www.magiran.com/p1404756