广义区间上的泛逻辑自相关系数求解  

Solution to generalized self-correlation coefficient on generalized interval

作　　者：毛明毅[1] 陈志成[2] 莫倩[1] 段大高[1] 

机构地区：[1]北京工商大学计算机学院,北京100037 [2]清华大学信息技术研究院,北京100084

出　　处：《计算机工程与应用》2008年第13期20-23,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(the National Natural Science Foundation of China under Grant No.60273087);北京市科技新星计划项目(No.2006B10);北京市教委科技发展计划面上项目(No.KM200610011002);北京市优秀人才培养资助项目(No.20061D0500300136)

摘　　要：广义自相关系数的求解是泛逻辑在不确定性推理中需要解决的关键问题之一。称任意[a,b]区间为广义区间,在广义区间上给出了广义N范数、广义N性生成元、广义自相关系数的定义。提出了由复杂系统参数的分布函数求解广义自相关系数的一般方法,给出并证明了重要的直通NLK公式。最后举例说明了求解k值的具体,为从数学模型和逻辑推理两个角度来分析复杂系统参数间的相关性提供了一种新的思路。In the process of uncertainty reasoning with universal logic,it is a key problem to calculate the value of generalized self-correlation coefficient ＂k＂.In this paper,any [a,b] interval is called generalized interval.Authors give the definitions of generalized N-norm,generalized N-generator,and generalized self-correlation on generalized interval.For the first time,authors put forward an general method for calculating generalized self-correlation coefficient from distributing functions of parameters in complicated system,give and prove the important straight NLK formula,which has good applications in universal logic reasoning now.The work offers a new idea of analyzing the correlation of parameters in complicated system from both viewpoints of mathematic model and logic reasoning.

关 键 词：泛逻辑 广义区间 广义N范数 广义自相关性系数 直通NLK公式 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]