Bipolar Fuzzy Magnified Translation of a Lattice

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DOI: https://doi.org/10.28924/2291-8639-22-2024-195
Published: Oct 31, 2024
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U. Venkata Kalyani, Aiyared Iampan, T. Eswarlal, Bipolar Fuzzy Magnified Translation of a Lattice, Int. J. Anal. Appl., 22 (2024), 195.

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U. Venkata Kalyani, Aiyared Iampan, T. Eswarlal

Abstract

In this article, we introduce the bipolar fuzzy (BF) level subsets of a lattice, and we prove the characterisation BF level subset B in terms of L forms a bipolar fuzzy lattice (BFL) and a bipolar fuzzy ideal (BFI). We show that if B forms a BFL of L, then the support set Supp(B) is a crisp sublattice of L. Also, we show that the converse necessarily does not hold in general, and we also proved the results for BFI. Moreover, we introduce and explore the concept of bipolar fuzzy magnified translation (BFMT) of a BFS. Also, we characterize a BFL and a BFI in terms of a BFMT. We show that the homomorphic image and pre-image of a BFMT of a BFL is also a BFL, and the BFMT of a BFI is also a BFI.

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