局部Lipschitz模糊函数的性质及广义方向导数

Properties and Generalized Directional Derivative of Locally Lipschitz Fuzzy Function

借助模糊数的左端点和右端点给出局部Lipschitz模糊函数的一个等价刻画,并引进了局部Lipschitz函数广义方向导数的概念.利用两个集合的间隔和距离给出局部Lipschitz模糊函数的若干性质,并举例给出求广义方向导数的方法.

With the help of left-hand end point and right-hand end point of fuzzy number,an equivalent characterization of locally Lipschitz fuzzy function was given,and with the aid of Hausdorff separation and Hausdorff distance between two sets,some properties of locally Lipschitz fuzzy function were discussed.With the introduction of generalized directional derivative of the locally Lipschitz function,the method for calculating generalized directional derivative was demonstrated with an example.