F-粗积分与它的面积覆盖-边界厚度特征

J4 ›› 2008, Vol. 43 ›› Issue (12): 88-92.

F-粗积分与它的面积覆盖-边界厚度特征

方文青^1,3,于秀清^2,3,史开泉³

1. 德州职业技术学院, 山东德州 253034; 2. 德州学院数学系, 山东德州 253000;
3. 山东大学数学学院, 山东济南 250100

收稿日期:2008-08-20 出版日期:2008-12-16 发布日期:2009-11-09
通讯作者: 方文青 fwq-wg@163.com

F-rough integrals and their covered area-boundary thickness characteristics

FANG Wen-Qing^1,3, XU Xiu-Qing^2,3, SHI Kai-Quan³

1. Dezhou Vocational and Technical College, Dezhou 253034, Shandong, China;
2. Department of Mathematics, Dezhou College, Dezhou 253000, Shandong, China;
3. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China

Received:2008-08-20 Online:2008-12-16 Published:2009-11-09

摘要/Abstract

摘要：

F-粗积分是函数单向S-粗集上的一个积分对,基于F-粗积分引入面积覆盖度和边界厚度概念。讨论了当有外来属性迁入函数单向S-粗集的属性集时,面积覆盖度、边界厚度等的一系列变化,给出其动态变化规律。面积覆盖度和边界厚度把对F-粗积分的讨论由定性过渡到定量。

关键词: F-粗积分;面积特征;面积覆盖度;边界厚度

Abstract:

F-rough integrals were composed with one pair of the integrals, which was used to introduce the concepts of the degree of covered area and boundary thickness. The characteristics of the area were discussed and the dynamic law was given. The degree of covered area and boundary thickness turns the discussion about F-rough integrals from quality to quantity.

Key words: F-rough integrals; area characteristics; degree of covered area; boundary thickness

中图分类号:

O159

方文青于秀清史开泉. F-粗积分与它的面积覆盖-边界厚度特征[J]. J4, 2008, 43(12): 88-92.

FANG Wen-Qing, XU Xiu-Qing, SHI Kai-Quan. F-rough integrals and their covered area-boundary thickness characteristics[J]. J4, 2008, 43(12): 88-92.

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