粗积分的动态特征  

Dynamic characteristics of rough integrals

作　　者：黄江燕[1,2] 于秀清[2,3] 方文青[2,4] 

机构地区：[1]江西理工大学理学院,江西赣州341000 [2]山东大学数学学院,山东济南250100 [3]德州学院,山东德州253000 [4]德州职业技术学院,山东德州253034

出　　处：《山东大学学报（理学版）》2009年第11期93-96,共4页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(Y2007H02)

摘　　要：基于函数S-粗集和F-粗积分,本文研究粗积分的动态特征,定义粗积分链和粗积分环的概念,给出上积分链,下积分链定理,粗积分链定理,以及积分链的存在性定理,讨论了积分链的可闭条件,得到积分环定理,粗积分环定理。另外还对积分链与积分环的一些特征进行讨论,给出中值定理在粗积分链中的应用结果。Based on the function S-rough sets and F-rough integral, the dynamic characteristics of rough integrals are studied. Two concepts, rough integral chain, rough integral ring, four theorems, up integral chain, down integral chain, rough integral chain theorem and existence of integral chain are given. Conditions of integral chain can be closed. Some of their characteristics am discussed, and the integral ring theorem is obtained. Finally, application of mean value theorem in rongh integral chain am discussed. All theorems and conclusions present the foufidation for further study on rough integrals.

关 键 词：函数S-粗集 动态特征 积分链 积分环 

分 类 号：O159[理学—数学]