{"title":"Dezert-Smarandache理论中经典组合规则中的熵产问题","authors":"Xinde Li","doi":"10.1109/FSKD.2013.6816275","DOIUrl":null,"url":null,"abstract":"In this paper, the classic rule of combination in the Dezert-Smarandache theory is found to be not convergent with the number increase of evidential sources since it leaves out the denominator in the Dempster's rule. That is, it is a process of entropy productions. This means the final result of combination is more uncertain, and can not give a good decision. Several illustrative examples are given to explain and testify this problem. Finally, a conclusion is given, in order to point out the necessity of developing some simple and convergent combinational rules in the Dezert-Smarandache theory.","PeriodicalId":368964,"journal":{"name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The problem of entropy production in the classic rule of combination in the Dezert-Smarandache theory\",\"authors\":\"Xinde Li\",\"doi\":\"10.1109/FSKD.2013.6816275\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the classic rule of combination in the Dezert-Smarandache theory is found to be not convergent with the number increase of evidential sources since it leaves out the denominator in the Dempster's rule. That is, it is a process of entropy productions. This means the final result of combination is more uncertain, and can not give a good decision. Several illustrative examples are given to explain and testify this problem. Finally, a conclusion is given, in order to point out the necessity of developing some simple and convergent combinational rules in the Dezert-Smarandache theory.\",\"PeriodicalId\":368964,\"journal\":{\"name\":\"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FSKD.2013.6816275\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2013.6816275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The problem of entropy production in the classic rule of combination in the Dezert-Smarandache theory
In this paper, the classic rule of combination in the Dezert-Smarandache theory is found to be not convergent with the number increase of evidential sources since it leaves out the denominator in the Dempster's rule. That is, it is a process of entropy productions. This means the final result of combination is more uncertain, and can not give a good decision. Several illustrative examples are given to explain and testify this problem. Finally, a conclusion is given, in order to point out the necessity of developing some simple and convergent combinational rules in the Dezert-Smarandache theory.