小区间内分类数学模型的模糊收敛性证明  

The Districts, Classification of Fuzzy Convergence of Mathematical Model

作　　者：刘菊芬[1] 

机构地区：[1]铜仁学院教育科学系,贵州铜仁554300

出　　处：《科技通报》2014年第5期33-36,共4页Bulletin of Science and Technology

摘　　要：小区间内分类数学模型是否具有模糊收敛性是处理数学问题分类的关键。对该类数学问题进行建模,验证了小区间内数学分类问题具有可行性和模糊收敛性。通过一种相位重组近邻点收敛的小区间分类算法,分析小区间特征数据点之紧邻点的收敛价值权重,过滤少数局部最佳特征数据的干扰,促进小区间分类数据近邻点的收敛性,提高数据分类收敛速度,采用马维尔条件对小区间数据分类解集进行约束,确保小区间分类模型的不动点存在且收敛,根据马维尔不动点定理得到,不动点产生的上下边界的解集中存在极限点,采用马维尔条件对小区间内分类数学模型的模糊收敛性进行验证。仿真实验对三类实际采集数据集进行模型验证,结果说明模型具有模糊收敛性。The districts, classified fuzzy convergence of mathematical model is the key to deal with math question classification. In this paper, the problem mathematical modeling, and classified the districts in mathematics problem has feasibility and vague convergence. Through a phase restructure neighbor points of convergence between zones classification algorithms, analysis of the characteristics between data points close to the point of the convergence value of the weight, interference filter a few local best feature data, promote classification data near to the point of convergence between zones, and improve the convergence speed, data classification using marvell conditions on data classification solution set of constraints between zones, ensure that area classification model between the fixed point existence and convergence, according to marvell fixed point theorem, the fixed point existence of upper and lower boundary of the solution concentration limit point, using marvell conditions on the village, a mathematical model of classification between fuzzy convergence for validation. Simulation experiments of three kinds of actual data sets collected model validation, results show that the model has fuzzy convergence.

关 键 词：小区间 分类 数学模型 模糊 收敛性 

分 类 号：O77[理学—晶体学]