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Research Article

INTUITIONISTIC LEVEL SUBGROUPS IN CYCLIC GROUPS OF ORDER $p^n$

D
Divya Mary Daise S Department of Mathematics, St. Albert s College (Affiliated to Mahatma Gandhi University), Ernakulam, Cochin - 682018, INDIA
D
Deepthi Mary Tresa S Department of Mathematics, St. Albert s College (Affiliated to Mahatma Gandhi University), Ernakulam, Cochin - 682018, INDIA
S
Shery Fernandez Department of Mathematics, Cochin University of Science and Technology, Cochin - 682022, INDIA
Volume 17, Issue 1 Pages 125-138 April 30, 2021 363 downloads
Article overview

Abstract

In this paper, we investigate whether the level subgroups of intuitionistic fuzzy subgroups of a group form a chain. The fuzzy counterpart of the same has already been proved affirmative. We ratify the result for cyclic groups of prime order and then for cyclic groups of prime power order. Finally, we illustrate our results through some numerical examples.

Keywords and Phrases

Intuitionistic fuzzy setintuitionistic fuzzy subgrouplevel subgroupprime powercyclic group.

AMS Subject Classification

08A72, 20N25, 03E72.

Reference information

How to Cite

Divya Mary Daise S, Deepthi Mary Tresa S, Shery Fernandez (2021). INTUITIONISTIC LEVEL SUBGROUPS IN CYCLIC GROUPS OF ORDER $p^n$. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 125-138.
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