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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 154

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 set, intuitionistic fuzzy subgroup, level subgroup, prime power, cyclic group.

A.M.S. subject classification

08A72, 20N25, 03E72.

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