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Issue:Generalizations of prime intuitionistic fuzzy ideals of a lattice

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Title of paper: Generalizations of prime intuitionistic fuzzy ideals of a lattice
Author(s):
Poonam Kumar Sharma
Post-Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Presented at: Proceedings of the 27th International Conference on Intuitionistic Fuzzy Sets, 5–6 July 2024, Burgas, Bulgaria
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 26–55
DOI: https://doi.org/10.7546/nifs.2024.30.1.26-55
Download:  PDF (308  Kb, File info)
Abstract: As a generalization of the concepts of an intuitionistic fuzzy prime ideal and a prime intuitionistic fuzzy ideal, the concepts of an intuitionistic fuzzy 2-absorbing ideal and a 2-absorbing intuitionistic fuzzy ideal of a lattice are introduced. Some results on such intuitionistic fuzzy ideals are proved. It is shown that the radical of an intuitionistic fuzzy ideal of L is a 2-absorbing intuitionistic fuzzy ideal if and only if it is a 2-absorbing primary intuitionistic fuzzy ideal of L. We also introduce and study these concepts in the product of lattices.
Keywords: Lattice, Intuitionistic fuzzy lattice, Intuitionistic fuzzy ideal, Intuitionistic fuzzy prime ideal, Intuitionistic fuzzy 2-absorbing ideal, Intuitionistic fuzzy primary ideal.
AMS Classification: 03F55, 06D72, 03B10.
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