F-粗规律与它的属性控制

J4 ›› 2008, Vol. 43 ›› Issue (12): 66-72.

F-粗规律与它的属性控制

修明^1,2,陈保会²,史开泉²

1. 集美大学工程技术学院, 福建厦门 361021;
2. 山东大学数学学院, 山东济南 250100

收稿日期:2008-09-22 出版日期:2008-12-16 发布日期:2009-11-09
通讯作者: 修明 jdxm1@tom.com

F-rough law and its attribute control

XIU Ming^1,2, CHEN Bao-Hui², SHI Kai-Quan²

1. College of Engineering Technology, Jimei University, Xiamen 361021, Fujian, China；
2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China

Received:2008-09-22 Online:2008-12-16 Published:2009-11-09

摘要/Abstract

摘要：

函数单向S-粗集(Function one direction singular rough sets)是用具有动态特性的R-函数等价类［u］定义的, 函数单向S-粗集具有规律(函数)特征。利用函数单向S-粗集, 给出F-粗规律(w-(x)F,w-(x)F)的结构, 粗规律(w-(x),w-(x))的属性特征, 属性距离, 状态系数概念, 利用这些概念, 提出F-粗规律与它的属性控制, 给出属性控制准则, 属性控制定理与应用。F-粗规律与它的属性控制是函数S-粗集(Function singular rough sets)中的一个新的应用研究方向。

关键词: 函数单向S-粗集; 粗规律; 属性特征; 属性控制; 属性控制定理

Abstract:

Function one direction S-rough sets (function one direction singular rough sets) was defined by the R-function equivalent class ［u］, which has dynamic characteristic, and the function one direction S-rough sets has law (function) characteristic. By using function one direction S-rough sets, the concepts of the structure of F-rough law (w-(x)F,w-(x)F), the attribute characteristic of rough law (w-(x),w-(x)), attribute distance, and status coefficient were presented, and F-rough law and its attribute control, the principle of attribute control, attribute control theorem and applications were proposed. F-rough law and its attribute control is a new application research direction of function S-rough sets (function singular rough sets).

Key words: function one direction Srough sets; rough law; attribute characteristic; attribute control; attributer control theorem

中图分类号:

O159

修明陈保会史开泉. F-粗规律与它的属性控制[J]. J4, 2008, 43(12): 66-72.

XIU Ming, CHEN Bao-Hui, SHI Kai-Quan. F-rough law and its attribute control[J]. J4, 2008, 43(12): 66-72.

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