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Function S-rough Sets and Their Law Characteristic
作者姓名:李东亚  史开泉
作者单位:Department of Mathematical Sciences Huanghuai University,School of Mathematics and Syatem Science Shandong University,Zhumadian 463000 China,Jinan 250100 China
基金项目:Supported by the Nature Science Foundation of Henan Province(0511012700).
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:函数S-粗集  规律特性  函数奇异粗集  粗集理论
文章编号:1002-0462(2007)02-0225-07
收稿时间:2006-05-12
修稿时间:2006-05-12

Function S-rough Sets and Their Law Characteristic
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.
Authors:LI Dong-ya  SHI Kai-quan
Institution:LI Dong-ya~1,SHI Kai-quan~2
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.
Keywords:function one direction S-rough sets  law  the theorem of law-chain-attribute  the theorem of law-belt
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