中文摘要：

在设计应用，概率的可靠性理论看起来是一会儿然而，在许多情况中，精确概率的可靠性理论不能被认为实际事情的真实状态的模型同样足够、可信的最重要的方法。在这篇论文，当统计数据被发现不够时，我们开发了概率、非概率的可靠性理论的一个混血儿，它把结构的不明确的参数描述为间隔变量。由使用间隔分析，为计算结构的可靠性以及可靠性索引的间隔的一个新方法在这篇论文被介绍，并且传统的概率的理论与间隔分析被合并。而且，新方法保存传统的概率的可靠性理论的有用部分，但是在数据上移开它的严格的要求的限制获得。例子被举表明建议理论的可行性和有效性。

英文摘要：

In engineering applications, probabilistic reliability theory appears to be presently the most important method, however, in many cases precise probabilistic reliability theory cannot be considered as adequate and credible model of the real state of actual affairs. In this paper, we developed a hybrid of probabilistic and non-probabilistic reliability theory, which describes the structural uncertain parameters as interval variables when statistical data are found insufficient. By using the interval analysis, a new method for calculating the interval of the structural reliability as well as the reliability index is introduced in this paper, and the traditional probabilistic theory is incorporated with the interval analysis. Moreover, the new method preserves the useful part of the traditional probabilistic reliability theory, but removes the restriction of its strict requirement on data acquisition. Example is presented to demonstrate the feasibility and validity of the proposed theory.