广义关联分析方法研究

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t^3，t^2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t^3与t^2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．

Generalized relational analysis method

If the value of the relational degree among the things lies in the interval , it is called C-mode relational analysis. On the basis of C-mode relational analysis, the conception of certain points displacement relational degree, velocity relational one, acceleration relational one and generalized relational one were put forward. The relational degrees identity, opposites, uncertainty and the specific property of generalized relational degree defined in the interval -1,1, taking value from , degree still lies in the interval . This process was called generalized relational analysis. By the relational analysis of the functions t_2 and t_3, when t=1/2 and t lies in the interval , the solving method of generalized relational was proclaimed, and the it was deduced that the displacement relational degree of t_2, t_3 is 1, when t lies in the interval , 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.