[1]ZHAO Senfeng,ZHAO Keqin.Contact probability (complex probability) of the geometry probability and the complement number theorem of probability[J].CAAI Transactions on Intelligent Systems,2013,8(1):11-15.[doi:10.3969/j.issn.1673-4785.201208025]
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Contact probability (complex probability) of the geometry probability and the complement number theorem of probability

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 8 Number of periods: 2013 1 Page number: 11-15 Column: 学术论文—人工智能基础 Public date: 2013-03-25
Title:
Contact probability (complex probability) of the geometry probability and the complement number theorem of probability
Author(s):
ZHAO Senfeng1;  ZHAO Keqin2; 3
1.Department of Science， Zhijiang College of Zhejiang University of Technology, Hangzhou 310024, China;
2.Zhuji Institute of Connection Mathematics, Zhuji 311811, China;
3.Center for Nontraditional Security and Peaceful Development Studies, Zhejiang University, Hangzhou 310058, China
Keywords:
random test;  geometry probability;  contact probability (complex probability);  probability;  representation theorem;  inverse theorem
CLC:
TP18
DOI:
10.3969/j.issn.1673-4785.201208025
Abstract:
In order to research the calculation and application of contact probability when the result of equally likely random trial is infinite, the researcher utilized the simple “uniform needle” random test to derive contact probability (complex probability) of geometry probability. The main probability and the concomitant probability of the contact probability respectively correspond to the great number probability (main probability) of the main event and the even if probability (great number probability of concomitant event) of the main event. And on this basis, the representation theorem of the random event and complement number theorem of probability were provided in the study. The complement number theorem was used to conveniently find the contact probability of the event based on the premise of knowing the probability of a random event. The results illustrated that the contact probability of geometry probability had the same form and property with the contact probability of typical probability.
References:
［1］赵森烽，赵克勤．概率联系数化的原理与联系概率在概率推理中的应用［J］．智能系统学报, 2012, 7(3): 200-205. 
ZHAO Senfeng, ZHAO Keqin. The principle of the probability of connection number and application in probabilistic reasoning［J］. CAAI Transactions on Intelligent Systems, 2012, 7(3): 200-205.
［2］赵克勤．集对分析的不确定性理论在AI中的应用［J］．智能系统学报, 2006, 1(2): 16-25. 
ZHAO Keqin. The application of uncertainty systems theory of set pair analysis (SPA) in the artificial intelligence［J］. CAAI Transactions on Intelligent Systems, 2006, 1(2): 16-25.
［3］赵克勤．二元联系数A+Bi的理论基础与基本算法及在人工智能中的应用［J］．智能系统学报, 2008, 3(6): 476-486. 
ZHAO Keqin. The theoretical basis and basic algorithm of binary connection A+Bi and its application in AI［J］. CAAI Transactions on Intelligent Systems, 2008, 3(6): 476-486.
［4］赵克勤．集对分析及其初步应用［M］．杭州：浙江科技出版社, 2000: 44-64.
［5］赵克勤，宣爱理．集对论——一种新的不确定性理论方法与应用［J］．系统工程, 1996, 14(1): 18-23. 
ZHAO Keqin, XUAN Aili. Set pair theory—a new theory method of non define and its applications［J］. Systems Engineering, 1996, 14(1): 18-23.
［6］赵克勤．试论集对分析与概率论的关系［C］//中南模糊系统与数学论文集．长沙：湖南科技出版社, 1995: 253.
［7］王梓坤．概率论基础及其应用［M］．北京：科学出版社, 1979: 1-219.
［8］赵秀恒，米立民．概率论与数理统计［M］．北京：高等教育出版社, 2008: 1-28.
［9］李德毅．不确定性人工智能［M］．北京：科学出版社, 1979: 1-400.
［10］蔡自兴，徐光佑．人工智能及其应用［M］．北京：清华大学出版社, 2010: 114-116.
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