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覆盖族生成拓扑的约简
引用本文:张燕兰,李进金.覆盖族生成拓扑的约简[J].数学杂志,2011,31(3):495-501.
作者姓名:张燕兰  李进金
作者单位:1. 漳州师范学院计算机科学与工程系,福建漳州,363000
2. 漳州师范学院数学系,福建漳州,363000
基金项目:国家自然科学基金资助项目,福建省基金,漳州师院科学研究支助项目
摘    要:本文研究了在覆盖族产生的拓扑不变的条件下覆盖族的约简问题.利用拓扑学理论讨论覆盖广义粗糙集的约简理论,给出计算约简的方法,丰富了覆盖广义粗糙集理论.

关 键 词:粗糙集  覆盖  拓扑  约简

THE REDUCTION IN A FAMILY OF COVERINGS PRODUCING A TOPOLOGY
ZHANG Yan-lan,LI Jin-jin.THE REDUCTION IN A FAMILY OF COVERINGS PRODUCING A TOPOLOGY[J].Journal of Mathematics,2011,31(3):495-501.
Authors:ZHANG Yan-lan  LI Jin-jin
Institution:1.Dept.of Comp.Science and Engineering,Zhangzhou Teachers’ College,Zhangzhou 363000,China)(2.Dept. of Math.,Zhangzhou Teachers’ College,Zhangzhou 363000,China)
Abstract:This article discusses the reductions in a family of covering,under the condition that the topologies induced by the family of coverings are not changed.By virtue of theory of topology,it explores the theory of reduction in covering generalized rough sets,and presents the method for calculating the reductions.Its results enriches the theory of covering generalized rough sets.
Keywords:rough sets  covering  topology  reduction  
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