Novel fuzzy information proximity measures

doi:10.1177/0165551507076332

	Novel fuzzy information proximity measures
	Ding, Shi-Fei 1; Xia, Shi-Xiong 1; Jin, Feng-Xiang 2; Shis, Zhong-Zhi 3
	2007
发表期刊	JOURNAL OF INFORMATION SCIENCE
ISSN	0165-5515
卷号	33 期号:6 页码:678-685
摘要	As a measure of information shared between two fuzzy pattern vectors, the fuzzy information proximity measure (FIPM) plays an important part in fuzzy pattern recognition, fuzzy clustering analysis and fuzzy approximate reasoning. In this paper, two novel FIPMs are set up. Firstly, an axiom theory about the FIPM is given, and different expressions of the FIPM are discussed. A new FIPM is then proposed based on the axiom theory of the FIPM and the concept of fuzzy subsethood function. Two concepts based on the idea of Shannon information entropy, fuzzy joint entropy (FJE) and fuzzy conditional entropy (FCE), are proposed and the basic properties of FJE and FCE are given and proved. Finally, classical similarity measures such as dissimilarity measure (DM) and similarity measure (SM) are studied, and two new measures, fuzzy absolute information measure (FAIM) and fuzzy relative information measure (FRIM), are set up, which can be used as measures of the proximity between fuzzy sets A and B.
关键词	fuzzy information proximity measure (FIPM) fuzzy nearness degree fuzzy joint entropy (FJE) fuzzy conditional entropy (FCE) fuzzy absolute information measure (FAIM) fuzzy relative information measure (FRIM)
DOI	10.1177/0165551507076332
收录类别	SCI
语种	英语
WOS研究方向	Computer Science ; Information Science & Library Science
WOS类目	Computer Science, Information Systems ; Information Science & Library Science
WOS记录号	WOS:000251991600003
出版者	SAGE PUBLICATIONS LTD
引用统计	被引频次：9[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/10892
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Ding, Shi-Fei
作者单位	1.China Univ Min & Technol, Coll Comp Sci & Engn, Xuzhou 221008, Peoples R China 2.Shandong Univ Sci & Technol, Coll Geoinformat Sci & Engn, Qingdao, Peoples R China 3.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Ding, Shi-Fei,Xia, Shi-Xiong,Jin, Feng-Xiang,et al. Novel fuzzy information proximity measures[J]. JOURNAL OF INFORMATION SCIENCE,2007,33(6):678-685.
APA	Ding, Shi-Fei,Xia, Shi-Xiong,Jin, Feng-Xiang,&Shis, Zhong-Zhi.(2007).Novel fuzzy information proximity measures.JOURNAL OF INFORMATION SCIENCE,33(6),678-685.
MLA	Ding, Shi-Fei,et al."Novel fuzzy information proximity measures".JOURNAL OF INFORMATION SCIENCE 33.6(2007):678-685.