{"title":"关于利用Schauder基和逆极限构造多值事件概率的注记","authors":"Tomáš Kroupa","doi":"10.1109/ISMVL.2010.42","DOIUrl":null,"url":null,"abstract":"Every probability on many-valued events (a state on a finitely-generated free MV-algebras) is uniquely represented by refining finitely-supported probabilities across all Schauder bases. This procedure enables reconstructing the state space as the inverse limit of an inverse system of finite-dimensional simplices.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Note on Construction of Probabilities on Many-Valued Events via Schauder Bases and Inverse Limits\",\"authors\":\"Tomáš Kroupa\",\"doi\":\"10.1109/ISMVL.2010.42\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Every probability on many-valued events (a state on a finitely-generated free MV-algebras) is uniquely represented by refining finitely-supported probabilities across all Schauder bases. This procedure enables reconstructing the state space as the inverse limit of an inverse system of finite-dimensional simplices.\",\"PeriodicalId\":447743,\"journal\":{\"name\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2010.42\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.42","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Note on Construction of Probabilities on Many-Valued Events via Schauder Bases and Inverse Limits
Every probability on many-valued events (a state on a finitely-generated free MV-algebras) is uniquely represented by refining finitely-supported probabilities across all Schauder bases. This procedure enables reconstructing the state space as the inverse limit of an inverse system of finite-dimensional simplices.
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