热门
Information entropy, rough entropy and knowledge granulation in incomplete information systems
文献类型：期刊论文
| 作者 | Liang, J.; Shi, Z.; Li, D.; Wierman, M. J. |
| 刊名 | INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
 |
| 出版日期 | 2006-12-01 |
| 卷号 | 35期号:6页码:641-654 |
| 关键词 | incomplete information systems rough sets information entropy rough entropy knowledge granulation |
| ISSN号 | 0308-1079 |
| DOI | 10.1080/03081070600687668 |
| 英文摘要 | Rough set theory is a relatively new mathematical tool for use in computer applications in circumstances that are characterized by vagueness and uncertainty. Rough set theory uses a table called an information system, and knowledge is defined as classifications of an information system. In this paper, we introduce the concepts of information entropy, rough entropy, knowledge granulation and granularity measure in incomplete information systems, their important properties are given, and the relationships among these concepts are established. The relationship between the information entropy E( A) and the knowledge granulation GK(A) of knowledge A can be expressed as E(A) + GK(A) = 1, the relationship between the granularity measure G(A) and the rough entropy E-r(A) of knowledge A can be expressed as G(A) + E-r(A) = log(2)vertical bar U vertical bar. The conclusions in Liang and Shi (2004) are special instances in this paper. Furthermore, two inequalities -log(2)GK(A) <= G(A) and E-r(A) <= log(2)(vertical bar U vertical bar(1 - E(A))) about the measures GK, G, E and E-r are obtained. These results will be very helpful for understanding the essence of uncertainty measurement, the significance of an attribute, constructing the heuristic function in a heuristic reduct algorithm and measuring the quality of a decision rule in incomplete information systems. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000241819200002 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/10702]  |
| 专题 | 中国科学院计算技术研究所期刊论文_英文 |
| 通讯作者 | Liang, J. |
| 作者单位 | 1.Shanxi Univ, Sch Comp & Informat Technol, Minist Educ, Key Lab Computat Intelligence & Chinese Informat, Taiyuan 030006, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100080, Peoples R China 3.Creighton Univ, Omaha, NE 68005 USA |
| 推荐引用方式 GB/T 7714 | Liang, J.,Shi, Z.,Li, D.,et al. Information entropy, rough entropy and knowledge granulation in incomplete information systems[J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,2006,35(6):641-654. |
| APA | Liang, J.,Shi, Z.,Li, D.,&Wierman, M. J..(2006).Information entropy, rough entropy and knowledge granulation in incomplete information systems.INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,35(6),641-654. |
| MLA | Liang, J.,et al."Information entropy, rough entropy and knowledge granulation in incomplete information systems".INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 35.6(2006):641-654. |
入库方式： OAI收割
来源：计算技术研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。