吉林大学学报(理学版)Issue(5):873-876,4.DOI:10.13413/j.cnki.jdxblxb.2015.05.09
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
摘要
Abstract
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.关键词
模糊函数/局部 Lipschitz 函数/广义方向导数Key words
fuzzy function/locally Lipschitz function/generalized directional derivative分类
数理科学引用本文复制引用
张霞,徐义红..局部 Lipschitz 模糊函数的性质及广义方向导数[J].吉林大学学报(理学版),2015,(5):873-876,4.基金项目
国家自然科学基金(批准号:11461044)、江西省自然科学基金(批准号:20122BAB201003)和江西省教育厅科技项目(批准号:GJJ12010) (批准号:11461044)