{"title":"熵的概念的抽象公理化","authors":"I. Rosenberg, D. Simovici","doi":"10.1109/ISMVL.2005.7","DOIUrl":null,"url":null,"abstract":"We present an abstract axiomatization of generalized entropy using the notion of ordinal number and the new concept of systemic set of equivalence relations. The axiomatization applies to arbitrary sets and extends previous results obtained for the finite case.","PeriodicalId":340578,"journal":{"name":"35th International Symposium on Multiple-Valued Logic (ISMVL'05)","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"An abstract axiomatization of the notion of entropy\",\"authors\":\"I. Rosenberg, D. Simovici\",\"doi\":\"10.1109/ISMVL.2005.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present an abstract axiomatization of generalized entropy using the notion of ordinal number and the new concept of systemic set of equivalence relations. The axiomatization applies to arbitrary sets and extends previous results obtained for the finite case.\",\"PeriodicalId\":340578,\"journal\":{\"name\":\"35th International Symposium on Multiple-Valued Logic (ISMVL'05)\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"35th International Symposium on Multiple-Valued Logic (ISMVL'05)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2005.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"35th International Symposium on Multiple-Valued Logic (ISMVL'05)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2005.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An abstract axiomatization of the notion of entropy
We present an abstract axiomatization of generalized entropy using the notion of ordinal number and the new concept of systemic set of equivalence relations. The axiomatization applies to arbitrary sets and extends previous results obtained for the finite case.