[1]赵森烽,赵克勤.概率联系数化的原理及其在概率推理中的应用[J].智能系统学报,2012,7(3):200-205.
ZHAO Sengfeng,ZHAO Keqin.The principle of a connection number in probability and its application in probabilistic reasoning[J].CAAI Transactions on Intelligent Systems,2012,7(3):200-205.
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ZHAO Sengfeng,ZHAO Keqin.The principle of a connection number in probability and its application in probabilistic reasoning[J].CAAI Transactions on Intelligent Systems,2012,7(3):200-205.
概率联系数化的原理及其在概率推理中的应用
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
7
期数:
2012年第3期
页码:
200-205
栏目:
学术论文—人工智能基础
出版日期:
2012-06-25
- Title:
- The principle of a connection number in probability and its application in probabilistic reasoning
- 文章编号:
- 1673-4785(2012)03-0200-06
- Keywords:
- probabilistic reasoning; random events; connection number; main events; adjoining events; connection probability (complex probability); negative probability
- 分类号:
- TP18
- 文献标志码:
- A
- 摘要:
- 为创建一种新的概率理论使概率推理更为客观，借助简单随机试验探讨随机性的本质，说明了事件的随机性是2个事物相互联系的一种属性.具有随机性的事件称为随机事件，随机事件A与〖AKA-〗成对存在，但可以分为主事件和伴随事件，由此导出主概率和伴随概率，它们分别对应于主事件的大数概率和即或概率.用联系数表示这2个概率，该联系数称为联系概率（复概率），联系概率中的i是主事件和伴随事件相互转换的纽带，并且对产生的负概率作了解释，举例说明了联系概率在概率推理中的应用.
- Abstract:
- For more objective probabilistic reasoning, a new probability theory was created in this paper. Through exploring the nature of randomness of some simple randomized trials, it can be known that the randomness of events has two interlinked attributes. The two random events A and 〖AKA-〗 always exist in a pair, and these random events can be divided into main events and adjoining events. Their respective probabilities are main probability (large number probability) and adjoining probability (sudden probability). A connection number was used to describe them. The probability of the connection number was called connection probability (complex probability). The i in the connection probability is a key parameter for the transformation of main events and adjoining events in the random experiment. The meaning of negative probability was explained, the application of connection probability in probabilistic reasoning was also illustrated in this paper.
- 参考文献/References:
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备注/Memo
收稿日期：2011-12-19.网络出版日期：2012-05-29.
基金项目：国家社会科学基金重点资助项目(08ASH006)；教育部哲学社会科学研究重大课题攻关项目(08JZD0021D).
通信作者：赵克勤．E-mail: zjzhaok@sohu.com.
作者简介：
赵森烽，男，1993年生，主要研究方向为信息与计算、集对分析(联系数学)等.
赵克勤，男，1950年生，研究员，浙江大学非传统安全与和平发展中心集对分析研究所所长，中国人工智能学会理事、人工智能基础专业委员会副主任、集对分析联系数学专业筹备委员会主任.主要研究方向为联系数学，1989年提出集对分析（联系数学），出版《集对分析及其初步应用》专著1部，发表学术论文90余篇.
更新日期/Last Update:
2012-09-05