Distributive Properties of Q−neutrosophic Soft Quasigroups

The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted pools of researchers. Dierent researchers have dened the idea of a Q-neutrosophic soft set under associative structures like groups, elds, rings, and modules. The distributive and symmetric properties of the Q−neutrosophic soft quasigroup are examined in this study, which extends the idea of a Q−neutrosophic soft set to a non-associative behavior known as a quasigroup. Our ndings were quite revealing. In particular, after dening Q−neutrosophic soft quasigroup in relation to the three binary operations of product, right, and left division operations, it was found that these operations are distributive over one another. Additionally, these binary operations are distributive over the operations of intersection, union, AND, and OR. It was obtained that, Q−neutrosophic soft quasigroup does not obey the key laws, and that the quasigroup is self-distributive with respect to the product, left, and right divisions. The eort which is novel, has advanced the course of study in this emerging eld.