INTUITIONISTIC LEVEL SUBGROUPS IN CYCLIC GROUPS OF ORDER $p^n$
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 159
DOI:
Author :
Divya Mary Daise S (Department of Mathematics, St. Albert s College (Affiliated to Mahatma Gandhi University), Ernakulam, Cochin - 682018, INDIA)
Deepthi Mary Tresa S (Department of Mathematics, St. Albert s College (Affiliated to Mahatma Gandhi University), Ernakulam, Cochin - 682018, INDIA)
Shery Fernandez (Department of Mathematics, Cochin University of Science and Technology, Cochin - 682022, INDIA)
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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