模糊事件的概率及其性质  

The Probability of Fuzzy Events and Its Properties

作　　者：陈莉[1] 段刚[2] 李曼生[1] 

机构地区：[1]兰州城市学院数学学院,甘肃兰州730070 [2]兰州交通大学交通运输学院,甘肃兰州730070

出　　处：《佳木斯大学学报（自然科学版）》2013年第5期781-782,共2页Journal of Jiamusi University：Natural Science Edition

基　　金：兰州交通大学青年科学研究基金项目(2011020)

摘　　要：在概率论的基础上,对第一类模糊概率,也即模糊事件的概率做了探讨和研究.首先,通过对模糊事件的定义及特征的描述,引出离散集上模糊事件概率的概念.其次,将模糊事件概率与分明事件的概率进行了比较研究;最后,刻划并证明了模糊事件概率的基本性质.Based on the classical probability, the probability of fuzzy events was proposed and its proper- ties were discussed. The probability of fuzzy events was defined first. Meanwhile, it is showed that the probabili- ty of fuzzy events is a generalization of the classical probability. Finally, properties of the probability of fuzzy e- vents were characterized and proved.

关 键 词：模糊集 模糊事件 模糊概率 概率 

分 类 号：O159[理学—数学]