The Order Involving the Neutrosophic Hyperstructures, the Construction and Setting up of a Typical Neutrosophic Group

Abstract

The concepts involving the n^th-Power Set of a Set, SuperHyperOperation, SuperHyperAxiom, SuperHyperAlgebra, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyper-Axiom and Neutrosophic SuperHyperAlgebra have been considered and treated by Florentin Smarandache and it was actually ascertained that in general, in any field of knowledge, one actually encounters SuperHyperStructures (or more accurately (m; n)-SuperHyperStructures). In this paper, efforts are intensified as much as possible to explicitly and clearly formulate the cardinality of the nth degree of the power set of a given order. We also made some constructions and setting up of typical neutrosophic groups.