An L-Point Characterization of Normality and Normalizer of an L-Subgroup of an L-Group

In this paper, we study the notion of normal L-subgroup of an L-group and provide its characterization by an L-point. We also provide a construction of the normalizer of an L-subgroup of a given L-group by using L-points. Moreover, we also discuss the product, homomorphic images and homomorphic prei...

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Bibliographic Details
Published in:Fuzzy information and engineering 2014-06, Vol.6 (2), p.147-166
Main Authors: Ajmal, Naseem, Jahan, Iffat
Format: Article
Language:English
Subjects:
[formula omitted]-algebra
[formula omitted]-point
[formula omitted]-subgroup
L-algebra
L-point
L-subgroup
Normal [formula omitted]-subgroup
Normal L-subgroup
Normality
Normalizer
Set product
Subgroups
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Summary:In this paper, we study the notion of normal L-subgroup of an L-group and provide its characterization by an L-point. We also provide a construction of the normalizer of an L-subgroup of a given L-group by using L-points. Moreover, we also discuss the product, homomorphic images and homomorphic preimages of normalizers.
ISSN:1616-8658
1616-8666
DOI:10.1016/j.fiae.2014.08.002