| 决策信息系统中的拓扑学方法 |
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| 引用本文： | 李进金,张燕兰,林培榕.决策信息系统中的拓扑学方法[J].模糊系统与数学,2011,25(1):124-133. |
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| 作者姓名： | 李进金 张燕兰 林培榕 |
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| 作者单位： | 漳州师范学院,计算机科学与工程系,福建,漳州,363000 |
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| 基金项目： | 国家自然科学基金，福建省教育厅科技项目 |
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| 摘 要： | 在决策信息系统中引入拓扑结构,借助拓扑学的基本概念(拓扑、内部和闭包等)研究决策问题,用它们刻画决策信息系统中的一些重要概念(决策协调集、决策约简集、下近似协调集、下近似约简集、上近似协调集、上近似约简集),并利用它们把这些重要概念推广到最一般的情况,建立起相应的约简理论.
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| 关 键 词： | 决策协调集 下近似协调集 上近似协调集 拓扑 内部 闭包 |
Topological Methods in Decision Information Systems |
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| LI Jin-jin,ZHANG Yan-lan,LIN Pei-rong.Topological Methods in Decision Information Systems[J].Fuzzy Systems and Mathematics,2011,25(1):124-133. |
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| Authors: | LI Jin-jin ZHANG Yan-lan LIN Pei-rong |
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| Institution: | LI Jin-jin,ZHANG Yan-lan,LIN Pei-rong(Department of Computer Science and Engineering,Zhangzhou Teachers' College,Zhangzhou 363000,China) |
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| Abstract: | In this paper,we construct topological structure in decision information systems,and use some basic concepts of topology to recognize definitions of decision consistent set,lower approximation consistent set and upper approximation consistent set in consistent information systems and inconsistent information systems.Then,based on the theory of topology,we give the definition of relation reduction,interior reduction and closure reduction in a family of general relations naturally. Also,we use a discernibilit... |
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| Keywords: | Decision Consistent Set Lower Approximation Consistent Set Upper Approximation Consistent Set Topology Interior Closure |
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