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	\| abstract = This paper presents intuitionistic fuzzy characteristic subgroups and discusses some of its properties. It is established that an intuitionistic fuzzy subgroup of an intuitionistic fuzzy group is characteristic provided its cuts are characteristic subgroups. In addition, it is proven that every intuitionistic fuzzy characteristic subgroup of an intuitionistic fuzzy group is an intuitionistic fuzzy normal subgroup. Furthermore, the notions of intuitionistic fuzzy maximal subgroups and intuitionistic fuzzy Frattini subgroups are established. It is shown that every intuitionistic fuzzy Frattini subgroup is an intuitionistic fuzzy characteristic subgroup as well as an intuitionistic fuzzy normal subgroup, respectively. Finally, some results on intuitionistic fuzzy Frattini ~~\linebreak~~ subgroups are presented with regards to the level sets and cuts of an intuitionistic fuzzy groups.		\| abstract = This paper presents intuitionistic fuzzy characteristic subgroups and discusses some of its properties. It is established that an intuitionistic fuzzy subgroup of an intuitionistic fuzzy group is characteristic provided its cuts are characteristic subgroups. In addition, it is proven that every intuitionistic fuzzy characteristic subgroup of an intuitionistic fuzzy group is an intuitionistic fuzzy normal subgroup. Furthermore, the notions of intuitionistic fuzzy maximal subgroups and intuitionistic fuzzy Frattini subgroups are established. It is shown that every intuitionistic fuzzy Frattini subgroup is an intuitionistic fuzzy characteristic subgroup as well as an intuitionistic fuzzy normal subgroup, respectively. Finally, some results on intuitionistic fuzzy Frattini subgroups are presented with regards to the level sets and cuts of an intuitionistic fuzzy groups.
	\| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy groups, Intuitionistic fuzzy subgroups, Intuitionistic fuzzy normal subgroup, Intuitionistic fuzzy Frattini subgroups, Intuitionistic fuzzy characteristic subgroups.		\| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy groups, Intuitionistic fuzzy subgroups, Intuitionistic fuzzy normal subgroup, Intuitionistic fuzzy Frattini subgroups, Intuitionistic fuzzy characteristic subgroups.
	\| ams = 03F55, 06D72, 08A72.		\| ams = 03F55, 06D72, 08A72.

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = On intuitionistic fuzzy characteristic and Frattini subgroups | shortcut = nifs/31/1/64-79 }} {{issue/author | author = Paul Augustine Ejegwa | institution = Department of Mathematics, Joseph Sarwuan Tarka University | address = Maku..."

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2025 year|{{PAGENAME}}]]
{{issue/title
| title = On intuitionistic fuzzy characteristic and Frattini subgroups
| shortcut = nifs/31/1/64-79
}}
{{issue/author
| author = Paul Augustine Ejegwa
| institution = Department of Mathematics, Joseph Sarwuan Tarka University
| address = Makurdi, Nigeria
| email-before-at = ejegwa.augustine
| email-after-at = uam.edu.ng
| orcid = 0000-0003-4834-6433
}}
{{issue/author
| author = Ahmed Ibrahim Isah
| institution = Department of Mathematical Sciences, Kaduna State University
| address = Kaduna, Nigeria
| email-before-at = ahmed.isah
| email-after-at = kasu.edu.ng
| orcid = 0000-0003-0673-4016
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/31/1|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1]], pages 64–79
| doi = https://doi.org/10.7546/nifs.2025.31.1.64-79
| file = NIFS-31-1-064-079.pdf
| format = PDF
| size = 231
| abstract = This paper presents intuitionistic fuzzy characteristic subgroups and discusses some of its properties. It is established that an intuitionistic fuzzy subgroup of an intuitionistic fuzzy group is characteristic provided its cuts are characteristic subgroups. In addition, it is proven that every intuitionistic fuzzy characteristic subgroup of an intuitionistic fuzzy group is an intuitionistic fuzzy normal subgroup. Furthermore, the notions of intuitionistic fuzzy maximal subgroups and intuitionistic fuzzy Frattini subgroups are established. It is shown that every intuitionistic fuzzy Frattini subgroup is an intuitionistic fuzzy characteristic subgroup as well as an intuitionistic fuzzy normal subgroup, respectively. Finally, some results on intuitionistic fuzzy Frattini \linebreak subgroups are presented with regards to the level sets and cuts of an intuitionistic fuzzy groups.
| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy groups, Intuitionistic fuzzy subgroups, Intuitionistic fuzzy normal subgroup, Intuitionistic fuzzy Frattini subgroups, Intuitionistic fuzzy characteristic subgroups.
| ams = 03F55, 06D72, 08A72.
| references =
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Issue:On intuitionistic fuzzy characteristic and Frattini subgroups - Revision history

Vassia Atanassova: -linebreak