{"title":"基于粗糙集的概念格依赖空间","authors":"Jianmin Ma, Wenxiu Zhang, Xia Wang","doi":"10.1109/GRC.2006.1635783","DOIUrl":null,"url":null,"abstract":"Rough set theory and Formal concept analysis have much in common, in terms of both goals and methodologies. The combination of rough set theory and formal concept analysis provides new approaches for data analysis. The notions of the object oriented concepts and the attribute oriented concepts are formed by introduced formal concept and formal concept lattice into rough set theory. In this paper, the dependence spaces are constructed according to these two concept lattices. Applying to the congruences on the dependence space, the equivalent classes of the set of attributes can be got and then a closed set is also obtained. And a new approach is discussed by using the closed set to construct formal concepts.","PeriodicalId":400997,"journal":{"name":"2006 IEEE International Conference on Granular Computing","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Dependence space of concept lattices based on rough set\",\"authors\":\"Jianmin Ma, Wenxiu Zhang, Xia Wang\",\"doi\":\"10.1109/GRC.2006.1635783\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Rough set theory and Formal concept analysis have much in common, in terms of both goals and methodologies. The combination of rough set theory and formal concept analysis provides new approaches for data analysis. The notions of the object oriented concepts and the attribute oriented concepts are formed by introduced formal concept and formal concept lattice into rough set theory. In this paper, the dependence spaces are constructed according to these two concept lattices. Applying to the congruences on the dependence space, the equivalent classes of the set of attributes can be got and then a closed set is also obtained. And a new approach is discussed by using the closed set to construct formal concepts.\",\"PeriodicalId\":400997,\"journal\":{\"name\":\"2006 IEEE International Conference on Granular Computing\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 IEEE International Conference on Granular Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/GRC.2006.1635783\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE International Conference on Granular Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GRC.2006.1635783","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dependence space of concept lattices based on rough set
Rough set theory and Formal concept analysis have much in common, in terms of both goals and methodologies. The combination of rough set theory and formal concept analysis provides new approaches for data analysis. The notions of the object oriented concepts and the attribute oriented concepts are formed by introduced formal concept and formal concept lattice into rough set theory. In this paper, the dependence spaces are constructed according to these two concept lattices. Applying to the congruences on the dependence space, the equivalent classes of the set of attributes can be got and then a closed set is also obtained. And a new approach is discussed by using the closed set to construct formal concepts.
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