Some Results of Neutrosophic Relations for Neutrosophic Set Theory

Abstract: Nearly thirty years ago, the science of Neutrosophic appeared at the hands of the scientist Smarandache, who generalized the concept of the intuitionistic set to the neutrosophic set and the intuitionistic logic into the neutrosophic logic according to the degree of membership functions truth, indeterminacy, and falsehood respectively. Moreover, he presented the neutrosophic structure of a set when he studied the structure of neutrosophic algebra with other scholars in their works neutrosophic groups, and neutrosophic rings. Later, a few scholars who take the concept of neutrosophic structure of set to construct neutrosophic Number theory and Neutrosophic linear algebra. In our previous work, we introduced some classification of a neutrosophic set to three types related to classical sets and built a new structure of neutrosophic set theory. This article addressed new facts of neutrosophic relations on neutrosophic sets of three types. This article includes a neutrosophic partial order relation on where with a few theorems and examples. Keywords: Neutrosophic sets Neutrosophic partial order relation on ; Properties Neutrosophic partial order relation on ;