The Different Kinds of Intuitionistic Multi L – Fuzzy Cosets With Their Interactions in Normality Conditions

Author(s)	C. Gowrishankar, M. Akilesh
Country	India
Abstract	In this paper, we introduce and investigate the properties of Intuitionistic Multi L - Fuzzy Cosets, Pseudo Intuitionistic Multi L – Fuzzy Cosets, and Pseudo Intuitionistic Multi L – Fuzzy Double Cosets of an Intuitionistic Multi L – Fuzzy Normal Subgroup of a group G. We introduce the concepts of these fuzzy cosets and examine their structural characteristics under various group operations. We establish necessary and sufficient conditions for an Intuitionistic Multi L – Fuzzy subset to form a normal subgroup and explore its implications in the coset structure. Furthermore, we analyze the relationships between different types of cosets, including their algebraic properties and interactions with normality conditions.
Keywords	Intuitionistic Multi L-Fuzzy Coset (IMLFC), Intuitionistic Multi L–Fuzzy Middle Coset (IMLFMC), Pseudo Intuitionistic Multi L – Fuzzy Coset (PIMLFC), Pseudo Intuitionistic Multi L–Fuzzy Double Coset (PIMLFDC), Intuitionistic Multi L-Fuzzy Normal Subgroup (IMLFNSG).
Field	Mathematics > Logic
Published In	Volume 7, Issue 1, January-February 2025
Published On	2025-02-26
DOI	https://doi.org/10.36948/ijfmr.2025.v07i01.37661
Short DOI	https://doi.org/g86w86

About IJFMR Fees & Payment Current Issue Publication Archive	Submit Research Paper Track Submission Status Publication Guidelines Publication Ethics Peer Review & Plagiarism	Join as a Reviewer Editors & Reviewers Reviewer Referral Program Get Reviewer Membership Certi.	Website/Journal Policies Usage Policy Content Policies Privacy Policy

Contact Us		+91-9687-828-838	editor@ijfmr.com

International Journal For Multidisciplinary Research