{"title":"分区广义熵的公理化","authors":"D. Simovici, S. Jaroszewicz","doi":"10.1109/ISMVL.2001.924582","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to present an axiomatization of a generalization of Shannon's entropy. The newly proposed axiomatization yields as special cases the Havrada-Charvat entropy, and thus, provides axiomatizations for the Shannon entropy, the Gini index, and for other types of entropy used in classification and data mining.","PeriodicalId":297353,"journal":{"name":"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"An axiomatization of generalized entropy of partitions\",\"authors\":\"D. Simovici, S. Jaroszewicz\",\"doi\":\"10.1109/ISMVL.2001.924582\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to present an axiomatization of a generalization of Shannon's entropy. The newly proposed axiomatization yields as special cases the Havrada-Charvat entropy, and thus, provides axiomatizations for the Shannon entropy, the Gini index, and for other types of entropy used in classification and data mining.\",\"PeriodicalId\":297353,\"journal\":{\"name\":\"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2001.924582\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2001.924582","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An axiomatization of generalized entropy of partitions
The aim of this paper is to present an axiomatization of a generalization of Shannon's entropy. The newly proposed axiomatization yields as special cases the Havrada-Charvat entropy, and thus, provides axiomatizations for the Shannon entropy, the Gini index, and for other types of entropy used in classification and data mining.
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