函数S-粗集的区间分解

函数S-粗集的区间分解

裴海峰，徐晓静

山东大学数学与系统科学学院，山东济南250100

收稿日期:2005-05-18 修回日期:2005-08-23 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 裴海峰

Interval decomposition of function S-rough sets

PEI Hai-feng and XU Xiao-jing

School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China

Received:2005-05-18 Revised:2005-08-23 Online:2006-10-24 Published:2006-10-24
Contact: PEI Hai-feng

摘要/Abstract

摘要： -基于函数S-粗集区间属性，定义了区间等价类和区间函数S-粗集，并给出了闭区间等价类有限覆盖定理及闭区间函数S-粗集的有限覆盖定理，从理论上证明了函数S-粗集与S-粗集之间的关系．

关键词: 函数S-粗集, 闭（开）区间等价类, 有限覆盖定理 , 闭（开）区间函数S-粗集

Abstract: Interval equivalence classes and interval function S-rough sets are defined based on interval attribute of function S-rough sets, and the finite covering theorem of closed interval equivalence classes and that of closed interval function S-rough sets are put forward. The relation of function S-rough sets and S-rough sets is also theoretically proved.

Key words: finite covering theorem , closed(open)function S-rough sets, closed(open)interval equivalence classes, function S-rough sets

中图分类号:

O159

裴海峰,徐晓静 . 函数S-粗集的区间分解[J]. J4, 2006, 41(2): 28-30 .

PEI Hai-feng and XU Xiao-jing . Interval decomposition of function S-rough sets[J]. J4, 2006, 41(2): 28-30 .

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