{"title":"用概率解释信念函数:一种新的组合规则","authors":"T.Y. Lin","doi":"10.1109/NAFIPS.2003.1226782","DOIUrl":null,"url":null,"abstract":"Dempster and Shafer introduced the belief function to measure someone's degree of beliefs or subjective probabilities. In IFSA'99 and NAFIPS'9, we presented two distinct proofs that a belief function is, in fact, an inner probability using the methods of functional analysis and measure theory respectively. In this paper, we continue the study and derive a new Dempster's rule of combination based on probability theory.","PeriodicalId":153530,"journal":{"name":"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Interpreting belief functions as probabilities: a new combination rule\",\"authors\":\"T.Y. Lin\",\"doi\":\"10.1109/NAFIPS.2003.1226782\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Dempster and Shafer introduced the belief function to measure someone's degree of beliefs or subjective probabilities. In IFSA'99 and NAFIPS'9, we presented two distinct proofs that a belief function is, in fact, an inner probability using the methods of functional analysis and measure theory respectively. In this paper, we continue the study and derive a new Dempster's rule of combination based on probability theory.\",\"PeriodicalId\":153530,\"journal\":{\"name\":\"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NAFIPS.2003.1226782\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAFIPS.2003.1226782","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Interpreting belief functions as probabilities: a new combination rule
Dempster and Shafer introduced the belief function to measure someone's degree of beliefs or subjective probabilities. In IFSA'99 and NAFIPS'9, we presented two distinct proofs that a belief function is, in fact, an inner probability using the methods of functional analysis and measure theory respectively. In this paper, we continue the study and derive a new Dempster's rule of combination based on probability theory.
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