Neutrosophic Triplet Ring and its Applications

Neutrosophic Triplet Ring (NTR) is a set endowed with two binary laws (M, *, {\#}), such that: \newline a) (M, *) is a commutative neutrosophic triplet group; which means that: \newline - M is a set of neutrosophic triplets with respect to the law * (i.e. if x belongs to M, then neut(x) and anti(x), defined with respect to the law *, also belong to M); \newline - the law * is well-defined, associative, and commutative on M (as in the classical sense); \newline b) (M, {\#}) is a set such that the law {\#} on M is well-defined and associative (as in the classical sense); \newline c) the law {\#} is distributive with respect to the law * (as in the classical sense).