[1]刘财辉,蔡克参.元素最小描述并集下的多粒度覆盖粗糙集模型[J].智能系统学报,2016,11(4):534-538.[doi:10.11992/tis.201605034]
LIU Caihui,CAI Kecan.Multigranulation covering rough sets based on the union of minimal descriptions of elements[J].CAAI Transactions on Intelligent Systems,2016,11(4):534-538.[doi:10.11992/tis.201605034]
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LIU Caihui,CAI Kecan.Multigranulation covering rough sets based on the union of minimal descriptions of elements[J].CAAI Transactions on Intelligent Systems,2016,11(4):534-538.[doi:10.11992/tis.201605034]
元素最小描述并集下的多粒度覆盖粗糙集模型
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
11
期数:
2016年第4期
页码:
534-538
栏目:
学术论文—知识工程
出版日期:
2016-07-25
- Title:
- Multigranulation covering rough sets based on the union of minimal descriptions of elements
- 分类号:
- TP18
- 摘要:
- 为了拓展多粒度粗糙集理论在覆盖近似空间上的研究，本文利用元素的最小描述并集并结合条件概率，提出了3种多粒度覆盖粗糙集模型。在模型定义基础上，本文研究了3种新模型的一些特有性质，探讨了新模型与一些已有模型的内在联系与区别，对3种新模型进行了比较。研究结果表明一些已有模型是本文模型的特殊形式，是已有模型的有效拓展。
- Abstract:
- To generalize multigranulation rough sets to a covering-based approximation space, this paper proposes three kinds of covering-based multigranulation rough sets by employing the conditional probability between the target concept and the union of the minimal descriptions of elements. Based on new definitions, some basic properties of these models were investigated and their relationships with some existing covering-based multigranulation rough sets are revealed. The inter-relationship among the three new models is also explored. The discussions show that the proposed models are a special form of text model, as well as extensions of some existing covering-based multigranulation rough sets.
- 参考文献/References:
-
[1] QIAN Yuhau, LIANG Jiye, YAO Yiyu, et al. MGRS:a multi-granulation rough set[J]. Information sciences, 2010, 180(6):949-970.
[2] QIAN Yuhua, ZHANG Hu, SANG Yanli, et al. Multigranulation decision-theoretic rough sets[J]. International journal of approximate reasoning, 2014, 55(1):225-237.
[3] QIAN Yuhua, LI Shunyong, LIANG Jiye, et al. Pessimistic rough set based decisions:a multigranulation fusion strategy[J]. Information sciences, 2014, 264:196-210.
[4] LI Jinhai, REN Yue, MEI Changlin, et al. A comparative study of multigranulation rough sets and concept lattices via rule acquisition[J]. Knowledge-based systems, 2016, 91:152-164.
[5] YANG Xibei, QI Yunsong, SONG Xiaoning, et al. Test cost sensitive multigranulation rough set:model and minimal cost selection[J]. Information sciences, 2013, 250:184-199.
[6] XU Weihua, GUO Yanting. Generalized multigranulation double-quantitative decision-theoretic rough set[J]. Knowledge-based systems, 2016, 105:190-205.
[7] SHE Yanhong, HE Xiaoli. On the structure of the multigranulation rough set model[J]. Knowledge-based systems, 2012, 36:81-92.
[8] HUANG Bing, GUO Chunxiang, ZHUANG Yuliang, et al. Intuitionistic fuzzy multigranulation rough sets[J]. Information sciences, 2014, 277:299-320.
[9] LIN Guoping, LIANG Jiye, QIAN Yuhua, et al. A fuzzy multigranulation decision-theoretic approach to multi-source fuzzy information systems[J]. Knowledge-based systems, 2016, 91:102-113.
[10] LIU Caihui, MIAO Duoqian, QIAN Jin. On multi-granulation covering rough sets[J]. International journal of approximate reasoning, 2014, 55(6):1404-1418.
[11] 别林斯里. 概率与测度[M]. 3版. 北京:世界图书出版公司, 2007.
[12] ZHU W, WANG Feiyue. Reduction and axiomization of covering generalized rough sets[J]. Information sciences, 2003, 152:217-230.
[13] YAO Yiyu. Three-way decisions with probabilistic rough sets[J]. Information sciences, 2010, 180(3):341-353.
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备注/Memo
收稿日期:2016-05-31。
基金项目:国家自然科学基金项目（61305052，61403329，61663002）.
作者简介:刘财辉,男,1979年生,副教授,主要研究方向为粗糙集、粒计算、机器学习、数据挖掘。发表学术论文20余篇,其中被SCI检索4篇,EI检索12篇;蔡克参,女,1992年生,硕士研究生,主要研究方向为粒计算方法在农业信息化中的应用。
通讯作者:刘财辉.E-mail:liu_caihui@163.com.
更新日期/Last Update:
1900-01-01