F-二重粗积分与边界厚度

J4 ›› 2010, Vol. 45 ›› Issue (9): 53-56.

• 第十届中国Rough集与软计算学术会议专栏 • 上一篇下一篇

F-二重粗积分与边界厚度

方文青^1,2

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

收稿日期:2010-03-18 出版日期:2010-09-16 发布日期:2010-10-12
作者简介:方文青(1967-),女,副教授,主要研究方向为粗系统理论与应用. Email:fwq-wg@163.com
基金资助:
山东省自然科学基金资助项目(Y2007H02)

F-double rough integrals and its boundary thickness

FANG Wen-qing^1,2

1. Dezhou Vocational and Technical College, Dezhou 253034, Shandong, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2010-03-18 Online:2010-09-16 Published:2010-10-12

摘要/Abstract

摘要：

F--二重粗积分是由函数双向S-粗集生成的积分对,它是F-二重粗积分和F^--二重粗积分的推广。给出F-二重粗积分边界厚度的概念,讨论了边界厚度的动态变化规律,得到边界厚度最值定理。利用边界厚度可以对F-二重粗积分进行辨识,给出F-二重粗积分辨识定理和两个辨识原则。

关键词: 函数双向S-粗集; F-二重粗积分; 边界厚度; 辨识

Abstract:

By employing function two direction S-rough sets, the concepts of F-double rough integrals and its boundary thickness are presented. When some attributes move in or out, F-double rough integrals and the boundary thickness change, and a series of dynamic laws is discussed. F-double rough integrals are one pair of integrals and can be identified by their boundary thickness. Finally, one identification theorem and two identification principles of F-double rough integrals are given.

Key words: function two direction S-rough sets; F-double rough integrals; boundary thickness; identification

方文青1,2. F-二重粗积分与边界厚度[J]. J4, 2010, 45(9): 53-56.

FANG Wen-qing1,2. F-double rough integrals and its boundary thickness[J]. J4, 2010, 45(9): 53-56.

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F-二重粗积分与边界厚度

F-double rough integrals and its boundary thickness

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