MBJ-Neutrosophic Positive Implicative LI-ideals, Associative LI-ideals, and Fantastic LI-ideals

Amarendra Babu V.¹, Abida Begum K.^*2, Siva Naga Malleswari V.³

¹Department of Mathematics, Acharya Nagarjuna universtiy, Guntur Dist., A.P, India

²Department of H & S, KRUCET, Krishna university, Machilipatnam, A.P, India

³PVP Siddhartha institute of Technology, Vijayawada, A.P, India

Emails: vamarendrababu@anu.ac.in; kruteacher211@kru.ac.in; malleswari.v@pvpsiddhartha.ac.in

Abstract

The MBJ-Neutrosophic positive implicative LI-ideals, the MBJ-Neutrosophic associative LI-ideals, and the MBJ-Neutrosophic fantastic LI-ideals are all introduced in this study. Of all these ideals, several their qualities and corresponding conditions were explored. We have demonstrated how every positive implicative MBJ-Neutrosophic LI-ideal evolved into an MBJ-Neutrosophic LI-ideal, MBJ-Neutrosophic implicative LI-ideal, and MBJ-Neutrosophic fantastic LI-ideal. Additionally, it was demonstrated that any MBJ-Neutrosophic fantastic LI-ideal is a MBJ-Neutrosophic associative LI-ideal.

Keywords: Lattice implication algebra (LIA); MBJ-Neutrosophic LI-ideal (MBJ-NLII), MBJ-Neutrosophic implicative LI-ideal (MBJ-NILII), MBJ-Neutrosophic positive implicative LI-ideal (MBJ-NPILII), MBJ-Neutrosophic associative LI-ideal (MBJ-NALII), and MBJ-Neutrosophic fantastic LI-ideal (MBJ-NFLII) .