函数S-粗集及其规律特性

数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 225-231.

函数S-粗集及其规律特性

1. Department of Mathematical Sciences, Huanghuai University 2. School of Mathematics and Syatem Science, Shandong University

收稿日期:2006-06-12 出版日期:2007-06-30 发布日期:2023-11-02
作者简介:LI Dong-ya(1962-),male,native of Zhumedian,Henan,an associate profeasor of Huanghual University,engages in uncertainty system theory and application.
基金资助:
Supported by the Nature Science Foundation of Henan Province(0511012700).；

Function S-rough Sets and Their Law Characteristic

1. Department of Mathematical Sciences, Huanghuai University 2. School of Mathematics and Syatem Science, Shandong University

Received:2006-06-12 Online:2007-06-30 Published:2023-11-02
About author:LI Dong-ya(1962-),male,native of Zhumedian,Henan,an associate profeasor of Huanghual University,engages in uncertainty system theory and application.
Supported by:
Supported by the Nature Science Foundation of Henan Province(0511012700).；

摘要/Abstract

摘要： Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.

关键词: function one direction S-rough Bets, law, the theorem of law-chain-attribute,
the theorem of law-belt

Abstract: Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.

Key words: function one direction S-rough Bets, law, the theorem of law-chain-attribute,
the theorem of law-belt

中图分类号:

O159

李东亚, 史开泉. 函数S-粗集及其规律特性[J]. 数学季刊, 2007, 22(2): 225-231.

LI Dong-ya, SHI Kai-quan. Function S-rough Sets and Their Law Characteristic [J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 225-231.

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