摘要
一元粗糙函数及其数学分析性质具有意义,但当前研究主要局限于有限度量.基于无限度量研究一元粗糙函数及其数学分析性质.将度量从有限集扩展到无限集,讨论粗糙函数分类;基于无限度量研究粗糙函数的粗糙连续、粗糙极限、粗糙导数.采用无限度量,推进了一元粗糙函数及其分析性质.
Univariate rough functions and their properties of mathematical analysis are meaningful, but the current research mainly confines to limited measurements. The infinite measures are adopted to research univariate rough functions and their mathematical analysis properties. First, measurements are expanded from a finite set to an infinite set, and the rough function classification is discussed. Based on infinite measures, rough continuity,limit, derivative of rough functions are investigated. This study utilizes infinite measures to promote univariate rough functions and their analysis properties.
出处
《数学的实践与认识》
北大核心
2017年第17期260-267,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(61673285
61203285)
四川省青年科技基金项目(2017JQ0046)
四川省教育厅科研项目(15ZB0029)
关键词
粗糙集
无限度量
粗糙函数
粗糙分析
rough set
infinite measure
rough function
rough analysis
作者简介
通信作者
