随机事元及其在解决矛盾问题中的应用

Random Event Element and Its Application On Solving the Contradiction Problem

摘要:

通过建立随机事件的可拓模型,给出了随机事元、随机事元的概率、随机事元集和可拓事件集的概念。在对随机事元可拓性研究的基础上给出了随机事元的拓展概率的概念。利用随机事元的多特征性,讨论了当随机事元的某一个或若干个特征及其量值改变时,由可拓变换的传导性,将在随机事元的各要素之间产生传导效应,从而导致随机事元概率的改变,进而为涉及随机事件发生的概率的矛盾问题的解决提供了有效途径。最后举例说明了利用概率的改变处理矛盾问题的方法。

Abstract:

Firstly, a series of concepts were put forward as random event element, probability of random event element, random event element sets and extension event sets by means of the extension modeling of random event. And the concept of the extension probability of random event element was also given on the basis of the study of the extension of random event element. Secondly, by making use of the multi-characteristic of the random event element, the following case was discussed that because of the conductivity of the extension transformation, the conductivity effect among the factors of random event element would take place as a certain or a few characteristics and its quantity values altered. And thus it led to the change of the probability of the random event element. Therefore, an efficient solving method for the contradiction problem relate to the random event probability was then given. Thirdly, in the final of this paper, an example was given to illustrate the way of dealing with the contradiction problem by using of the probability’s variation.