模糊函数的Romberg积分

The Romberg Integration of Fuzzy Functions

本文通过对模糊数和模糊函数的介绍,定义了模糊函数的积分,并推导出模糊函数的复合梯形积分公式,将该数值积分公式外推改进为Rom-berg积分公式,加快了模糊函数数值积分的收敛速度,最后给出了具体的数值应用.

In the article, the integration of fuzzy functions is defined with the introduction of the fuzzy number and the fuzzy function. The Romberg integral formula is derived with the extrapolation from the composite trapezoidal integral formula which is obtained based on the definition. The rapidity of convergence is accelerated by the fuzzy functions＇ Romberg integration. The proposed algorithm is finally illustrated by numerical examples.