Novel fuzzy information proximity measures
Ding, Shi-Fei1; Xia, Shi-Xiong1; Jin, Feng-Xiang2; Shis, Zhong-Zhi3
刊名JOURNAL OF INFORMATION SCIENCE
2007
卷号33期号:6页码:678-685
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)
ISSN号0165-5515
DOI10.1177/0165551507076332
英文摘要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.
WOS研究方向Computer Science ; Information Science & Library Science
语种英语
出版者SAGE PUBLICATIONS LTD
WOS记录号WOS:000251991600003
内容类型期刊论文
源URL[http://119.78.100.204/handle/2XEOYT63/10891]  
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.
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