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APS -Annual Meeting of the APS Four Corners Section- Event - Hybrid Neutrosophic Triplet Ring in Physical Structures

机译:APS-APS四角节年会-事件-物理结构中的中智三重态混合环

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extbf{~}The Hybrid Neutrosophic Triplet Ring (extit{HNTR}) is a set M endowed with two binary laws (M, *, {#}), such that: a) (M, *) is a commutative neutrosophic triplet group; which means that: - $M $is a set of neutrosophic triplets with respect to the law * (i.e. if $x $belongs to $M$, then extit{neut(x) }and extit{anti(x)}, defined with respect to the law *, also belong to $M)$; - the law * is well-defined, associative, and commutative on $M $(as in the classical sense); b) (M, {#}) is a neutrosophic triplet set with respect to the law {#} (i.e. if $x $belongs to $M$, then extit{neut(x) }and extit{anti(x)}, defined with respect to the law {#}, also belong to $M)$; - the law {#} is well-defined and non-associative on $M $(as in the classical sense); c) the law {#} is distributive with respect to the law * (as in the classical sense).
机译:extbf {〜}混合中智三重态环(extit {HNTR})是一个集合M,具有两个二元律(M,*,{#}),因此:a)(M,*)是可交换中智三重态群;这意味着:-就法律而言,$ M $是一组中智三元组*(即,如果$ x $属于$ M $,则定义为ext {neut(x)}和extit {anti(x)}就法律*而言,也属于$ M)$; -定律*在$ M $上是定义明确的,关联的和可交换的(按照传统意义); b)(M,{#})是关于定律{#}的中智三元组(即,如果$ x $属于$ M $,则退出{neut(x)}和extit {anti(x)} ,根据法律{#}定义,也属于$ M)$; -法律{#}是在$ M $上定义明确且不关联的(如传统意义上那样); c)法律{#}是相对于法律*的分配性(如经典意义上的)。

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