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

Document Type : Research Paper

Authors

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

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

References

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Iranian Journal of Fuzzy Systems
Volume 12, Issue 2 - Serial Number 2
March and April 2015
Pages 129-136

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