Weak LA-hypergroups; Neutrosophy, Enumeration and Redox Reaction

Abstract

The main motivation of this article is to introduce the theme of Neutrosophic triplet(NT) HvLA-Groups. This inspiration is recieved from the structure of weak non-associative Neutrosophic triplet(NT)
structures. For it, firstly, we define that each element x have left neut(x) and left anti(x), which may or may
not unique. We further introduce the notion of neutrosophic triplet Hv-LA-subgroups and neutrosophic weak
homomorphism on NT Hv-LA-Group. Secondly, presented NT Hv-LA-Group and develop two Mathematica
Packages which help to check the left invertive law, weak left invertive law and reproductive axiom. Finally
established a numerical example to validate the proposed approach in chemistry using redox reactions.