Introduction to Plithogenic Hypersoft Subgroup

Abstract

In this article, some essential aspects of plithogenic hypersoft algebraic structures have been ana-lyzed. Here the notions of plithogenic hypersoft subgroups i.e. plithogenic fuzzy hypersoft subgroup, plithogenicintuitionistic fuzzy hypersoft subgroup, plithogenic neutrosophic hypersoft subgroup have been introduced andstudied. For doing that we have redefined the notions of plithogenic crisp hypersoft set, plithogenic fuzzy hy-persoft set, plithogenic intuitionistic fuzzy hypersoft set, and plithogenic neutrosophic hypersoft set and alsogiven their graphical illustrations. Furthermore, by introducing function in different plithogenic hypersoft en-vironments, some homomorphic properties of plithogenic hypersoft subgroups have been analyzed.