International Journal For Multidisciplinary Research

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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
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E-ISSN 2582-2160
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