函数单向S-粗集生成的F-粗积分

函数单向S-粗集生成的F-粗积分

于秀清¹^,²,史开泉²

1. 德州学院，山东德州 253014; 2. 山东大学数学与系统科学学院，山东济南 250100

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 于秀清

F-rough integrals generated by function one-direction S-rough sets

YU Xiu-qing¹^,²,SHI Kai-quan²

1. Dezhou College, Dezhou 253014, Shandong, China;2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: YU Xiu-qing

摘要/Abstract

摘要： 函数单向S-粗集中的上近似与下近似均可看作是一个R-函数等价类,他们生成的函数如果在一闭区间上连续,则在该区间存在积分,这样就得到一个积分对,称这个积分对是函数单向S-粗集生成的F-粗积分。F-粗积分是普通积分的推广,而且它具有动态特性,也有一些良好的性质,为解决实际问题提供了一个方便有效的工具。

关键词: 函数单向S-粗集, F-粗积分, 动态特性

Abstract: The upper approximation and the lower approximation in function onedirection S-rough sets are both seen as R-function equivalence classes which can generate two functions. If the two generated functions are continuous in closed interval ［a,b］, the pair of the integrals generated by the two functions are called F-rough integrals based on function one-direction S-rough sets. F-rough integrals are ordinary integral promotion, and they have dynamic characteristics with some good nature, and they provides a convenient and effective tool to resolve some factual problems.

Key words: dynamic characteristics , F-roug integrals, function one direction S-rough sets

中图分类号:

O159

于秀清,史开泉 . 函数单向S-粗集生成的F-粗积分[J]. J4, 2008, 43(2): 29-34 .

YU Xiu-qing,SHI Kai-quan . F-rough integrals generated by function one-direction S-rough sets[J]. J4, 2008, 43(2): 29-34 .

参考文献

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