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Issue:On commutativity of intuitionistic L-fuzzy groups

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Title of paper: On commutativity of intuitionistic L-fuzzy groups
Author(s):
Poonam Kumar Sharma     0000-0001-5463-8665
P. G. Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: 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
Download:  PDF (210  Kb, File info)
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 Classification: 03F55, 08A72, 20XX.
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