摘要
利用选取的一个模糊蕴涵算子构造出模糊关系.使用这个模糊关系,得到了某二维随机变量的联合概率密度函数.讨论了对应的边缘概率密度函数和数字特征.求出了由重心法解模糊化得到的模糊系统,指出这种模糊系统在概率论意义下是一个回归函数,并证明其具有一阶逼近精度.
Firstly,we construct fuzzy relation using the selected implication operator.With the fuzzy relation,we get the joint probability density function of certain two-dimensional random variables.Secondly,the marginal density function and numerical characteristics of the implication are discussed separately.Finally,fuzzy system constructed with center of gravity defuzzification is obtained.It is pointed out that the fuzzy system is a regression function in the sense of probability theory and has the first-order approximation accuracy.
出处
《辽宁师范大学学报(自然科学版)》
CAS
2011年第2期137-141,共5页
Journal of Liaoning Normal University:Natural Science Edition
关键词
模糊推理
概率分布
数字特征
模糊系统
泛逼近性
fuzzy inference
probability distribution
numerical characteristics
fuzzy system
universal approximation