Article Type
Original Study
Abstract
In this study, we apply k-polar generalized neutrosophic logic to the ideal of BCK-algebra and consequently introduce the notion of a k-polar generalized neutrosophic ideal in BCK-algebra with an example. We provide conditions for a k-polar generalized neutrosophic set to be a k-polar generalized neutrosophic ideal. We prove that every k-polar generalized neutrosophic ideal is a k-polar generalized neutrosophic subalgebra, but the converse is not true, which can be illustrated with an example. Furthermore, we prove that a k-polar generalized neutrosophic set is a k-polar generalized neutrosophic ideal if and only if its corresponding cut sets are ideals of the BCK algebra.
How to Cite
Satyanarayana, Bavanari and Baji, Shake
(2025)
"A Study on the Polarity of Generalized Neutrosophic Ideals in BCK-Algebra,"
Neutrosophic Systems with Applications: Vol. 22:
Iss.
1, Article 6.
DOI: https://doi.org/10.61356/j.nswa.2024.22364
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
