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Issue:On intuitionistic fuzzy chained modules

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Title of paper: On intuitionistic fuzzy chained modules
Author(s):
Poonam Kumar Sharma
Post-Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3, pages 203–214
DOI: https://doi.org/10.7546/nifs.2024.30.4.297-308
Download:  PDF (292  Kb, File info)
Abstract: In this paper, we introduce and explore some novel concepts within the frame work of intuitionistic fuzzy module theory. First, we define the notion of an intuitionistic fuzzy chained module as a generalisation of chained modules, establishing it foundational properties. We then characterise intuitionistic fuzzy chained modules, in terms of its level-cut submodules. In addition to this, we describe an intuitionistic fuzzy chained module in terms of its intuitionistic fuzzy cyclic submodules. Finally, we demonstrate that under specific conditions, the intuitionistic fuzzy multiplication module is an intuitionistic fuzzy chained module.
Keywords: Intuitionistic fuzzy chained module, Intuitionistic fuzzy (cyclic) submodule, Intuitionistic fuzzy multiplication module, Intuitionistic fuzzy (prime) ideal.
AMS Classification: 54C50, 03F55, 16D10, 08A72, 16N80.
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