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粗集理论及其应用(一)──粗集理论基础
引用本文:曾黄磷.粗集理论及其应用(一)──粗集理论基础[J].四川理工学院学报(自然科学版),1996(1).
作者姓名:曾黄磷
作者单位:四川轻化工学院电子工程系
基金项目:国家教委留学回国人员科研基金
摘    要:作为研究粗集理论的开始,本文首先给出知识的形式化定义和知识库,知识的等价、推广及特化等概念的一些基本性质,强调知识与分类概念的联系。当涉及到非精确知识时,提倡以粗集概念作为讨论知识的理论基础,因而本文介绍了粗集与集合近似的基本概念,阐述了近似集合的性质及非精确性的数字特征与拓扑特征,最后给出集合的粗等价、粗包含和分类的近似方法。

关 键 词:粗集理论  知识等价  不精确范畴

THEORETICAL ASPECTS AND APPLICATIONS ON ROUGH SETS(一)FUNDAMENTAL CONCEPTS OF ROUGH SETS
Zeng Huanglin.THEORETICAL ASPECTS AND APPLICATIONS ON ROUGH SETS(一)FUNDAMENTAL CONCEPTS OF ROUGH SETS[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1996(1).
Authors:Zeng Huanglin
Institution:Dept.of Electron.Eng.Sichuan Institute of Light Ind.& Chem.Tech.Zigong 643033
Abstract:As ctarting inquiry into rough sots,soe formal definitions and proparties of equivalence generalization and special nation of knowledge are firstly intrduced. Knowledge in our apprcach is strictly connected with the variety of classification patterns related to specific parts of real world.A rough set concept as a theor tieal framework for discussions about knowledge is advocated,particularly when imprecise knowledge is of primary concern fundamentats of approximations and rough tets numerical and topological characterization of imprecision are introduced.Rough quality and inclusion of sets,as well as approximations of classificatioa are discussed in the paper.
Keywords:Rough sets  equivalence of knowledge  imprecise category  
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