广义关联分析方法研究  

Generalized relational analysis method

作　　者：王清印[1] 郭立田[1] 

机构地区：[1]河北经贸大学不确定性系统研究所,河北石家庄050091

出　　处：《华中科技大学学报（自然科学版）》2005年第8期97-99,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(70271006);河北省科学技术与发展规划资助项目(2002020006)

摘　　要：在事物之间的关联程度取值于区间[-1,1]上的C型关联分析基础上,给出了事物之间在某点的位移关联度、速度关联度、加速关联度及广义综合关联度的定义;论述了关联度的同一性、对立性、不确定性及定义在广义区间〖-1,1〗上的广义综合关联度取值于区间[-1,1]的特性;进一步给出了事物之间在定义域上的广义总体关联度的定义,证明了广义综合关联度仍取值于区间[-1,1];称这一过程为广义关联分析.通过对函数t3,t2在点1/2处及在区间[0,2]上的关联分析,揭示了广义关联度的求解方法;并得出t3与t2在区间[0,2]上的广义总体位移关联度为1,广义总体速度关联度为2/3,广义总体加速关联度为1/3,广义总体综合关联度为2/3.If the value of the relational degree among the things lies in the interval[-1,1],it is called C-mode relational analysis On the basis of C-mode relational analysis, the conception of certain point＇s dis placement relational degree, velocity relational one, acceleration relational one and generalized relational one were put forward. The relational degree＇s identity, opposites, uncertainty and the specific property of generalized relational degree defined in the interval [ - 1,1 ], taking value from [ - 1,1 ], degree still lies in the interval [- 1,1 ]. This process was called generalized relational analysis. By the relational analysis of the functions t2 and t3, when t = 1/2 and t lies in the interval [0,2], the solving method of generalized relational was proclaimed, and the it was deduced that the displacement relational degree of t2, t3 is 1, when t lies in the interval [0,2], the generalized total velocity relational degree is 2/3, the generalized total acceleration relational degree is 1/3, the generalized total comprehensive relational degree is 2/3.

关 键 词：关联度 关联分析 不确定性 广义关联分析 

分 类 号：TP14[自动化与计算机技术—控制理论与控制工程]