Neutrosophic Triplet Field used in Physical Applications
POSTER
Abstract
Neutrosophic Triplet Field (NTF) 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 both belong to M); \newline - the law * is well-defined, associative, and commutative on M (as in the classical sense); \newline b) (M, {\#}) is a 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 both belong to M); \newline - the law {\#} is well-defined and associative on M (as in the classical sense); c) the law {\#} is distributive with respect to the law * (as in the classical sense). \newline Applications. \newline This new field of neutrosophic triplet structures is important, because it reflects our everyday life [it is not simple imagination!]. \newline The neutrosophic triplets are based on real triads: (friend, neutral, enemy), (positive particle, neutral particle, negative particle), (yes, undecided, no), (pro, neutral, against), and in general \textit{(\textless A\textgreater , \textless neutA\textgreater , \textless antiA\textgreater )} as in neutrosophy. ~