模糊值函数的R-S积分和广义Hukuhara微分

The Fuzzy Riemann-Stieltjes Integral and the Generalized Hukuhara Derivatives

借助于区间值函数(RS)积分,给出模糊值函数Riemann-Stieltjes积分的概念,讨论其性质。定义模糊值函数关于实值增函数g(x)的广义Hukuhara微分,研究模糊Riemann-Stieltjes积分的原函数性质。

In this paper,the Riemann-Stieltjes integral for fuzzy number-valued functions was defined and characterized by using the(RS)integral concept for interval-valued functions.In addition,generalized Hukuhara derivatives for fuzzy number-valued functions was given.Furthermore,the differentiability of the primary functions of the fuzzy Riemann-Stieltjes integral were discussed.