Chain Structure of Intuitionistic Level Subgroups of Groups

Authors

  • Divya Mary Daise S
  • Deepthi Mary Tresa S
  • Shery Fernandez

Keywords:

Fuzzy subgroup; Intuitionistic fuzzy subgroup; Level subgroup; Intuitionistic level subgroup; Finite group; Infinite group.

Abstract

A classic result in fuzzy group theory states that level subgroups of any fuzzy subgroup of a finite group form a chain.
Here we are trying to generalise this result to the context of intuitionistic fuzzy groups. We have obtained a characterisation of groups
in which all the Intuitionistic Level Subgroups (ILSGs) of every Intuitionistic Fuzzy Subgroups (IFSGs) form chains. W e have also
precisely obtained the finite groups having this property. W e throw some insight into the cases of infinite groups also.
 

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Published

2025-01-29

How to Cite

Mary Daise S, D., Mary Tresa S, D., & Fernandez, S. (2025). Chain Structure of Intuitionistic Level Subgroups of Groups. Jordan Journal of Mathematics and Statistics, 17(4). Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/547

Issue

المجلد 17 العدد 4 (2024)

Section

Articles