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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/30/1\|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1]], pages 1–8		\| issue = [[Notes on Intuitionistic Fuzzy Sets/31/1\|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1]], pages 1–8
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	\| file = NIFS-31-1-001-008.pdf		\| file = NIFS-31-1-001-008.pdf

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = On commutativity of intuitionistic ''L''-fuzzy groups | shortcut = nifs/31/1/1-8 }} {{issue/author | author = Poonam Kumar Sharma | institution = P. G. Department of Mathematics, D.A.V. College | address = Jalandhar, Punjab, India..."

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = On commutativity of intuitionistic ''L''-fuzzy groups | shortcut = nifs/31/1/1-8 }} {{issue/author | author = Poonam Kumar Sharma | institution = P. G. Department of Mathematics, D.A.V. College | address = Jalandhar, Punjab, India..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2025 year|{{PAGENAME}}]]
{{issue/title
| title = On commutativity of intuitionistic ''L''-fuzzy groups
| shortcut = nifs/31/1/1-8
}}
{{issue/author
| author = Poonam Kumar Sharma
| institution = P. G. Department of Mathematics, D.A.V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/30/1|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1]], pages 1–8
| doi = https://doi.org/10.7546/nifs.2025.31.1.1-8
| file = NIFS-31-1-001-008.pdf
| format = PDF
| size = 210
| abstract = In this paper, we discuss the commutativity of an intuitionistic ''L''-fuzzy subgroup of a group. Some necessary and sufficient conditions for an intuitionistic ''L''-fuzzy subgroup to be commutative are derived. The relationship between commutativity and normality of intuitionistic ''L''-fuzzy subgroups is briefly studied. It is also proved that any commutative intuitionistic ''L''-fuzzy subgroup of a finite group admits a decomposition as a direct product of intuitionistic ''L''-fuzzy subgroups of Sylow subgroups.
| keywords = Intuitionistic ''L''-fuzzy subgroup (ILFSG); Level-cut subgroup; Normal intuitionistic ''L''-fuzzy subgroup (NILFSG); Commutative intuitionistic ''L''-fuzzy subgroup (CILFSG)
| ams = 03F55, 08A72, 20XX.
| references =
# Ahn, T. C., Hur, K., & Kang, H. W. (2006). Intuitionistic fuzzy subgroups and level subgroups. International Journal of Fuzzy Logic and Intelligent Systems, 6(3), 240–246.
# [[Krassimir Atanassov|Atanassov, K. T.]] (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). [[Intuitionistic Fuzzy Sets: Theory and Applications]]. Studies on Fuzziness and Soft Computing, 35, Physica-Verlag, Heidelberg.
# Atanassov, K., & Stoeva, S. (1984). Intuitionistic L-fuzzy sets, Cybernetics and Systems Research, Vol. 2, R. Trappl (ed.). Elsevier Science Publishers B.V., North-Holland, pp. 539–540.
# [[Ranjit Biswas|Biswas, R.]] (1996). Intuitionistic fuzzy subgroups. Math. Forum, 10, 39–44.
# Fathi, M., & Salleh, A.R. (2009). Intuitionistic fuzzy subgroups, Asian Journal of Algebra, 2(1), 1–10.
# [[Kanchan]], Sharma, P. K., & Pathania, D. S. (2020). Intuitionistic L-fuzzy submodules. Advances in Fuzzy Sets and Systems, 25(2), 123–142.
# [[K. Meena|Meena, K.]], & [[K. V. Thomas|Thomas, K. V.]] (2011). Intuitionistic L-fuzzy subrings. International Mathematical Forum, 6(52), 2561-2572.
# [[N. Palaniappan|Palaniappan, N.]], Naganathan, S., & Arjunan, K. (2009). A Study on Intuitionistic L-Fuzzy Subgroups. Applied Mathematical Sciences, 3(53), 2619–2624.
# [[Rasul Rasuli|Rasuli, R.]] (2020). Intuitionistic fuzzy subgroups with respect to norms (T, S). Engineering and Applied Science Letters, 3(2), 40–53.
# Rasuli, R. (2023). Normalization, commutativity and centralization of TFSM(G). Journal of Discrete Mathematical Sciences & Cryptography, 26(4), 1027–1050.
# Sharma, P. K. (2011). Intuitionistic fuzzy groups. International Journal of Data Warehousing and Mining, 1(1), 86–94.
# Sharma, P. K. (2012). On intuitionistic fuzzy Abelian subgroups. Advances in Fuzzy Sets and Systems, 12(1), 1–16.
# Sharma, P. K. (2016). On intuitionistic fuzzy Abelian subgroups-II. Advances in Fuzzy Sets and Systems, 21(1), 1–6.
# Sreedevi, V. S. & Joseph, B. (2020). Intuitionistic L-fuzzy graph. Journal of Mathematical and Computational Science, 10(5), 1748–1754.

| citations =
| see-also =
}}

Issue:On commutativity of intuitionistic L-fuzzy groups - Revision history

Vassia Atanassova at 12:53, 6 March 2025

Vassia Atanassova: 31