基于无限度量的一元粗糙函数及其数学分析性质
Univariate Rough Functions and Their Mathematical Analysis Properties based on Infinite Measures
冯树凯 1张贤勇 1冯山1
作者信息
- 1. 四川师范大学数学与软件科学学院,四川成都610066
- 折叠
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.
Abstract
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.
关键词
粗糙集/无限度量/粗糙函数/粗糙分析Key words
rough set/infinite measure/rough function/rough analysis引用本文复制引用
基金项目
国家自然科学基金(61673285)
国家自然科学基金(61203285)
四川省青年科技基金(2017JQ0046)
四川省教育厅科研项目(15ZB0029)
出版年
2017
NETL
NSTL
维普
万方数据