一类非单调关联系统的率模可靠性分析

Profust Reliability Analysis of a Typical Kind of Noncoherent System

实际的生产和生活中存在着大量的非单调关联系统 ,对其进行可靠性分析就需要有相应的非单调关联系统理论支持 ,现有的率模 (probabilityandfuzzystate ,Profust)可靠性理论仅仅对单调关联系统进行了讨论。因此 ,首先建立了Profust非单调关联系统的相关理论 ,然后针对一类典型的非单调关联系统 (“n中取r至s”系统 )进行了具体的可靠性分析 。

There are many noncoherent systems in the real world. If we want to analyze their reliability, we have to use some theory on noncoherent systems. But the existing theory on Profust system only is applied to coherent systems. Based on the assumption of probability and fuzzy state, we propose the theory of noncoherent Profust system. Then, we apply this theory to analyze the reliability of a typical kind of noncoherent system(r to s out of n system).Thus, the effectiveness of Cai's Profust reliability theory is further verified in the field of noncoherent systems.\;