MBJ-Neutrosophic Structure Applied to BP-algebras: BP-subalgebras and α-ideals

Authors

Bavanari Satyanarayana, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-522 510, Andhra Pradesh, IndiaFollow
Shake Baji, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-522 510, Andhra Pradesh, IndiaFollow
Anjaneyulu Naik K., Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-522 510, Andhra Pradesh, IndiaFollow

ORCID

Bavanari Satyanarayana: https://orcid.org/0000-0001-5605-0531

Shake Baji: https://orcid.org/0000-0002-6090-8083

Anjaneyulu Naik K.: https://orcid.org/0009-0006-2625-1301

Article Type

Article

Abstract

In this article, we introduce the concepts of MBJ-neutrosophic BP-subalgebras and MBJ-neutrosophic α-ideals in BP-algebra by applying MBJ-neutrosophic logic to algebraic structure BP-algebra. We prove that the intersection of two MBJ-neutrosophic α-ideals and the inverse image of an MBJ-neutrosophic α-ideal are also MBJ-neutrosophic α-ideals. Furthermore, we prove an MBJ-neutrosophic set is an MBJ-neutrosophic BP-subalgebra if and only if its level sets are BP-subalgebras.

Keywords

BP-algebra, BP-subalgebra, α-ideal, MBJ-neutrosophic set, MBJ-neutrosophic BP-subalgebra, MBJ-neutrosophic α-ideal

How to Cite

Satyanarayana, Bavanari; Baji, Shake; and K., Anjaneyulu Naik (2025) "MBJ-Neutrosophic Structure Applied to BP-algebras: BP-subalgebras and α-ideals," Neutrosophic Systems with Applications: Vol. 25: Iss. 2, Article 3. DOI: https://doi.org/10.61356/j.nswa.2025.25471

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.