{"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}
引用次数: 1
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.
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