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F-粗积分与它的面积覆盖-边界厚度特征
引用本文: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].山东大学学报(理学版),2008,43(12):88-92.
作者姓名:方文青  于秀清  史开泉
作者单位:1. 德州职业技术学院,山东,德州,253034;山东大学数学学院,山东,济南,250100
2. 德州学院数学系,山东,德州,253000;山东大学数学学院,山东,济南,250100
3. 山东大学数学学院,山东,济南,250100
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
收稿时间:2008-08-20

F-rough integrals and their covered area-boundary thickness characteristics
FANG Wen-qing,YU Xiu-qing,SHI Kai-quan.F-rough integrals and their covered area-boundary thickness characteristics[J].Journal of Shandong University,2008,43(12):88-92.
Authors:FANG Wen-qing  YU Xiu-qing  SHI Kai-quan
Institution: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
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.
Keywords:F-rough integrals  area characteristics  degree of covered area  boundary thickness
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