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Issue:Complex intuitionistic fuzzy Lie subalgebras under norms

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Title of paper: Complex intuitionistic fuzzy Lie subalgebras under norms
Author(s):
Rasul Rasuli     0000-0003-3755-5790
Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran
Rasuli@pnu.ac.ir
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1, pages 15–38
DOI: https://doi.org/10.7546/nifs.2025.31.1.15-38
Download:  PDF (244  Kb, File info)
Abstract: The purpose of this paper is to define the concepts of complex intuitionistic fuzzy Lie subalgebras and complex intuitionistic fuzzy Lie ideals with respect to norms (t-norm T and s-norm S) of Lie subalgebras and discuss their relationship them with Lie subalgebras and Lie ideals. Next we define the intersection, sum and homomorphism of them and we describe some of the basic and master properties of them.
Keywords: Lie algebras, Ideals, Fuzzy set theory, Intuitionistic fuzzy sets, Norms, Complex fuzzy sets, Complex intuitionistic fuzzy sets, Intersections, Homomorphisms.
AMS Classification: 17B62, 13A15, 03E72, 47A30, 55N45, 20K30.
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