ENTROPY, DISTANCE MEASURE AND SIMILARITY MEASURE OF FUZZY-SETS AND THEIR RELATIONS
ENTROPY, DISTANCE MEASURE AND SIMILARITY MEASURE OF FUZZY-SETS AND THEIR RELATIONS
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DOI：
10.1016/0165-0114(92)90239-z
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发表时间：
1992-12-24
影响因子：
3.9
通讯作者：
LIU, XC
中科院分区：
文献类型：
--
作者：
LIU, XC
系统地给出了熵，距离度量和相似性度量的公理定义，并讨论了这些措施之间的基本关系。提出了Sigma-（分别sub-Sigma-）熵的概念，Sigma-（分别sub-Sigma-）距离度量和Sigma-（分别sub-Sigma-）相似性度量，并列出了其中的一些示例。获得了sigma-（分别的亚sigma-）熵之间的关系，Sigma-（分别sub-Sigma-）距离度量和Sigma-（分别subsigma-）相似性度量之间的关系。
The axiom definitions of entropy, distance measure and similarity measure of fuzzy sets are systematically given and basic relations between these measures are discussed. The concepts of sigma- (resp. sub-sigma-)entropy, sigma- (resp. sub-sigma-)distance measure and sigma- (resp. sub-sigma-)similarity measure are proposed, and some examples of them are listed. The relations between sigma- (resp. sub-sigma-)entropy, sigma- (resp. sub-sigma-)distance measure and sigma- (resp. sub-sigma-)similarity measure are obtained.