This paper deals with the Boolean-based analysis of a prominent class of non-repairable coherent multistate systems with independent nonidentical multistate components. This class of systems is represented by a multistate coherent truly threshold system of several states, which is not necessarily binary-imaged. The paper represents such a system via Boolean expressions of system success or system failure at each non-zero level, which are in the form of minimal sop formulas, or disjoint sop formulas. These are expressions that are directly convertible to expected values. Several map representations are also offered, including a single multi-value Karnaugh map.

翻译：本文针对一类具有独立非相同多状态组件的不可修相干多状态系统，采用基于布尔逻辑的分析方法展开研究。这类系统由非必须二值映射的多状态相干真正阈值系统表征，文章通过系统在每个非零层级上的成功或失败布尔表达式进行建模，这些表达式以最小化析取范式或不相交析取范式的形式呈现，可直接转化为期望值。文中还提出了包括单一多值卡诺图在内的多种图形表示方法。