A Study on the Polarity of Generalized Neutrosophic Ideals in BCK-Algebra

Bavanari Satyanarayana, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-522 510, Andhra Pradesh, IndiaFollow
Shake Baji, Department of Mathematics, Sir C.R. Reddy College of Engineering, Eluru-534007, Andhra Pradesh, IndiaFollow

ORCID

Bavanari Satyanarayana: 0000-0001-5605-0531

Shake Baji: 0000-0002-6090-8083

Article Type

Research Article

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.

Keywords

k-polar Fuzzy Ideal, Cut Sets, k-polar Generalized Neutrosophic Set, k-polar Generalized Neutrosophic Subalgebra, k-polar Generalized Neutrosophic Ideal

How to Cite

Satyanarayana, Bavanari and Baji, Shake (2024) "A Study on the Polarity of Generalized Neutrosophic Ideals in BCK-Algebra," Neutrosophic Systems with Applications: Vol. 22: Iss. 1, Article 3. DOI: https://doi.org/10.61356/j.nswa.2024.22364