MBJ-Neutrosophic WI Ideals in Lattice Wajsberg Algebra

V. S. N. Malleswari^1,*, M. Babu Prasad², Kothuru Bhagya Lakshmi³, M. Aruna kumari⁴, M. Sireesha⁵

¹Department of Freshman Engineering, PVP Siddhartha Institute of Technology, Vijayawada, India.

²Department of Freshmen Engineering, NRI Institute of Technology, Pothavarappadu, Vijayawada, India.

³Department of Mathematics, KKR&KSR Institute of Technology&Sciences, Guntur, India.

⁴Department of Mathematics, KKR&KSR Institute of Technology&Sciences, Guntur, India.

⁵Department of Mathematics, RV Institute of Technology,Chebrolu, Guntur Dt, India.

Emails: vsnm.maths@gmail.com; babuprasad@nriit.edu.in; mblakshmi12@gmail.com;

arunakumaridarsanapu@gmail.com; sireeshamamidala85@gmail.com

Abstract

In this study, we introduce the concepts of MBJ-Neutrosophic WI-ideal and MBJ-Neutrosophic lattice ideal of lattice Wajsberg algebras. We demonstrate that every MBJ-Neutrosophic WI-ideal of lattice Wajsberg algebra is an MBJ-Neutrosophic lattice ideal of lattice Wajsberg algebra. Additionally, we talk about its opposite. Furthermore, we discover that in lattice H-Wajsberg algebra, every MBJ-Neutrosophic lattice ideal is an MBJ-Neutrosophic WI-ideal.

Keywords: Wajsberg algebra (WA); Lattice Wajsberg algebra(LWA); WI-ideal; MBJ-Neutrosophic WI-ideal; MBJ-Neutrosophic lattice ideal.