论文:2016,Vol:34,Issue(3):473-479
引用本文:
刘城霞, 何华灿, 张仰森, 朱敏玲. 基于泛逻辑的泛容差关系的研究[J]. 西北工业大学学报
Liu Chengxia, He Huacan, Zhang Yangsen, Zhu Minling. The Study of Universal Tolerance Relation Based on Universal Logic[J]. Northwestern polytechnical university

基于泛逻辑的泛容差关系的研究
刘城霞1,2, 何华灿1,3, 张仰森2, 朱敏玲2
1. 北京邮电大学 计算机学院, 北京 100876;
2. 北京信息科技大学, 北京 100101;
3. 西北工业大学, 陕西 西安 710072
摘要:
粗糙集是用确定的方法处理不确定信息和数据,但它要求属性信息是离散的,而且针对的是完备信息系统。而泛逻辑是研究人工智能领域中的不确定性、不完全性以及模糊性,它针对的信息可以是离散的,也可以是连续的。针对不完备信息系统扩展泛逻辑中的泛等价关系,得到泛容差关系,并对连续或离散的属性取值应用泛容差关系进行分类,代替原来的扩展粗糙集中的容差关系,定义新的相似度的计算方法,进而进行数据填充,最后用实例进行了应用说明。
关键词:    粗糙集    泛逻辑    容差关系    泛容差关系   
The Study of Universal Tolerance Relation Based on Universal Logic
Liu Chengxia1,2, He Huacan1,3, Zhang Yangsen2, Zhu Minling2
1. Computer School, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. Beijing Information and Technology University, Beijing 100101, China;
3. Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
Rough set theory can be used to deal with the imprecise data and information by certain method but its basis is that the attribute's value must be discrete and the system must be complete.Universal logic can do with the uncertain, incomplete and fuzzy information in artificial intelligence and the data can be discrete or continuous. Use the universal logic to redefine the tolerance relation and use universal tolerance relation to classify the continuous or discrete attribute, we can extend the scope of application of rough set theory and universal logic. This paper makes focus on the new concept of universal tolerance relation and new computation method of similarity between objects and then we can complete the data based on this. At last an example is given to illustrate it.
Key words:    rough set    universal logic    tolerance relation    universal tolerance relation   
收稿日期: 2015-10-27     修回日期:
DOI:
基金项目: "促进高校内涵发展-专业建设-面向大类人才培养模式的2016专业培养方案修订"项目资助
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作者简介: 刘城霞(1978—),女,北京邮电大学博士研究生,主要从事数据挖掘、粗糙集及泛逻辑的研究。
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参考文献:
[1] Pawlak Z. Rough Sets[J]. International Journal of Computer and Information Science, 1982,11(5): 341-356
[2] 何华灿. 泛逻辑学原理[M]. 北京:科学出版社,2001 He Huacan. The Theory of Universal Logic[M]. Beijing, Science Press, 2001 (in Chinese)
[3] Grzylama-Busse J W, Hu M. A Comparison of Several Approaches to Missing Attribute Values in Data Mining[C]//Proceedings of the Second International Conference on Rough Sets and Current Trends in Conlputing RSCTC 2000, Banf, Canada, Springer Berlin, 2000: 340-347
[4] Kryszkiewicz M. Rough Set Approach to Incomplete Information Systems[J]. Information Sciences, 1998, 112: 39-49
[5] Stefanowski J, Tsoukias A. Incomplete Information Tables and Rough Classification[J]. Computational Intelligence, 2001, 17(3): 545-566
[6] Stefanowski J, Tsoukias A. Valued Tolerance and Decision Rules[C]//Volume 2005 of Lecture Notes in Artificial Intelligence Berlin, Springer, 2001: 212-219
[7] 王国胤. Rough集理论在不完备信息系统中的扩充[J]. 计算机研究与发展, 2002, 39(10): 1238-1243 Wang Guoyin. Extension of Rough Set Under Incomplete Information System[J]. Journal of Computer Research and Development, 2002, 39(10): 1238-1243 (in Chinese)
[8] Grzymala-Busse J W. Rough Set Strategies to Data with Missing Attribute Values[C]//The 3rd International Conference on Data Mining. Melbourne,FL,USA, 2003: 56-63
[9] 官礼和. 基于粗糙集理论的不完备信息处理方法研究[J]. 重庆邮电大学学报,2009,21(4):461-466 Guan Lihe. Processing Incomplete Information Methods Based on Rough Set[J]. Journal of Chongqing University of Posts and Telecommunications, 2009, 21(4): 461-466 (in Chinese)
[10] 邓耀进, 李仁发. 一种粗糙集理论中量化容差关系的改进[J]. 计算机工程与科学,2009, 31(10): 105-108 Deng Yaojin, Li Renfa. An Improvement on the Valued Tolerance Relation in the Rough Set Theory[J]. Computer Engineering & Science, 2009, 31(10): 105-108 (in Chinese)
[11] Gao Yuqin, Fang Guohua, Liu Yaqin. θ-Improved Limited Tolerance Relation Model of Incomplete Information System for Evaluation of Water Conservancy Project Management Modernization[J]. Water Science and Engineering, 2013, 6(4): 469-477