Neutrosophic Duplet Structures

Let $U$ be a universe of discourse, and a set $A$ included in $U$, endowed with a law \begin{figure}[htbp] \centerline{\includegraphics[width=0.09in,height=0.22in]{230620171.eps}} \label{fig1} \end{figure} $_{\mathrm{\ast }}$ that is well-defined. We say that \textit{\textless a, neut(a)\textgreater }, where \textit{a, neut(a) }$\in A$ is a \textbf{Neutrosophic Duplet }if: 1) \textit{neut(a)} is different from the unitary element of$ A$ with respect to the law $*$ (if any); 2) \textit{a*neut(a) }$=$\textit{ neut(a)*a }$= a$; 3) there is no \textit{anti(a)} $\in A$ such that \textit{a*anti(a) }$=$\textit{ anti(a)*a }$=$\textit{ neut(a). } \textbf{Neutrosophic Duplet Structures} are structures defined on the sets of neutrosophic duplets. Their applications in the physical world are investigated.