模糊证据理论的推广及其在产品可靠性评估中的应用

The Extension of Fuzzy Evidence Theory and its Application in Reliability Assessment

模糊证据理论可以很好地表示和处理不精确的和模糊的信息。本文通过重新定义模糊集合的“包含度”和“相交度”概念,将模糊证据理论推广到识别框架为连续无限集合的情形,并将其成功应用于产品的可靠性评估工作之中。

The imprecise and fuzzy information can be well described and processed with fuzzy evidence theory. The concepts of inclusion degree and intersection degree of fuzzy sets were redefined, and fuzzy evidence theory was extended to the circumstance when the framework of discrimination is a continuous and infinite set. The generalized fuzzy evidence theory was applied to reliability assessment successfully.