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Center of Gravity Fuzzy Systems and the Probability Distributions Based on the Circle Operators

机译：重心模糊系统和基于圆算子的概率分布

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摘要

In the paper, the center of gravity fuzzy systems and probability representation theory based on two circle operators of the regular implications(Godel, Goguen) are studied. Firstly, based on CRI algorithm and the center of gravity defuzzification method, the joint probability density functions of two-dimensional random variables, the marginal probability density functions and numerical characteristics of these two circle operators are obtained. Then it is pointed out that the fuzzy systems based on these two circle operators are regression functions with the joint probability density function. Finally, we prove these two fuzzy systems not only have the universal approximation but possess the first-order approximation accuracy. By comparing with the center-average defuzzification method, it is found that the center of gravity defuzzification method is better than the center-average defuzzification method.
机译：在本文中，研究了基于两个圆形运营商的重心模糊系统和概率表示理论的常规影响（戈德尔，公鸡）。首先，基于CRI算法和重心排斥方法，获得二维随机变量的联合概率密度函数，获得这两个圆算子的边缘概率密度函数和数值特征。然后指出，基于这两个圆算子的模糊系统是具有联合概率密度函数的回归函数。最后，我们证明这两个模糊系统不仅具有通用近似，而且具有一阶近似精度。通过比较中心平均除霜方法，发现重心排出方法优于中央平均除霜方法。

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