关于可拓事件及其概率基础的初步研究

研究经典的和模糊的两类随机事件发生的可能性的工具分别是经典概率论和Zadeh模糊概率论，这两种工具对研究现实世界存在的另一类随机事件即可拓（随机）事件发生的可能性时却无能为力。因此在给出可拓事件概念的基础上，研究了可拓事件的运算规律，并由此定义了可拓事件的概率的概念，进一步讨论了其性质，所得结果是经典和模糊情况的一般化，可解决经典概率论和模糊概率论不能解决的随机问题。

A Preliminary Study on Extension Events and Their Probability

As the tools for the research into the probabilities of classical and fuzzy random events, the classical probability theory and fuzzy probability theory are of no avail in handling extension events, another type of random events in the real world. The concept of extension event is given in this paper and its operations are investigated. Furthermore, the concept for the probability of an extension event is defined with discussions made on its properties. The results obtained are the generalization of classical and fuzzy probability theories, which can solve problems of random events beyond the reach of classical and fuzzy theories.