The Properties of Intuitionistic Multi L–Fuzzy Cosets And Pseudo Intuitionistic Multi L-Fuzzy Cosets of an Intuitionistic Multi L- Fuzzy Subgroup Under Homomorphism and Anti – Homomorphism

Author(s)	Mr. C. Gowrishankar, Dr. M. Akilesh
Country	India
Abstract	In this paper, we introduce and study the concepts of Intuitionistic Multi L - fuzzy cosets and Pseudo Intuitionistic Multi L – fuzzy cosets of an Intuitionistic Multi L – fuzzy subgroup under group homomorphisms and anti-homomorphisms. We investigate the structural properties of these newly defined cosets and explore their relationships with Intuitionistic Multi L – fuzzy subgroups. Furthermore, we analyze the preservation of Intuitionistic Multi L- fuzzy membership and non-membership functions under homomorphic and anti-homomorphic mappings, establishing several fundamental results. Our findings extend classical coset theory to the framework of Intuitionistic Multi L- fuzzy algebraic structures, providing deeper insights into their algebraic behaviour.
Keywords	Intuitionistic Multi L-Fuzzy Subgroup (IMLFSG), Intuitionistic Multi L–Fuzzy Coset (IMLFC), Pseudo Intuitionistic Multi L – Fuzzy Coset (PIMLFC), Homomorphism – Anti-homomorphism.
Field	Mathematics > Logic
Published In	Volume 7, Issue 3, May-June 2025
Published On	2025-05-26
DOI	https://doi.org/10.36948/ijfmr.2025.v07i03.45950
Short DOI	https://doi.org/g9mn3r

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