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. ~
Authors
-
Florentin Smarandache
Univ of New Mexico
-
Kuo-Fu Tseng
Idaho Accelerator Center, University of Oregon, Department of Physics, Oregon State Univ, University Of Oregon, Washington State University, Simon Fraser University, University of Southern Queensland, Australia, UC Davis, Oregon State University, Henan University