{"title":"基于排他度的D数距离函数","authors":"Meizhu Li","doi":"10.12733/JICS20105543","DOIUrl":null,"url":null,"abstract":"The mathematical framework of Dempster-Shafer theory is based on some strong hypotheses regarding the frame of discernment and basic probability assignment, which limit the ability of it to represent some types of information. To overcome the shortcomings, a novel theory called D numbers theory is proposed. In this paper, a new distance function of D numbers based on exclusive degree is proposed to measure the distance between two D numbers. The proposed function is an generalization of distance between two BPAs, which inherits the advantage of Dempster-Shafer theory and strengthens the capability of uncertainty modeling. When the exclusive degree between each pair of D numbers equals to 1, the proposed function can be degenerated as the distance function defined by Anne-Laure Jousselme.","PeriodicalId":213716,"journal":{"name":"The Journal of Information and Computational Science","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Distance Function of D Numbers Based on Exclusive Degree\",\"authors\":\"Meizhu Li\",\"doi\":\"10.12733/JICS20105543\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The mathematical framework of Dempster-Shafer theory is based on some strong hypotheses regarding the frame of discernment and basic probability assignment, which limit the ability of it to represent some types of information. To overcome the shortcomings, a novel theory called D numbers theory is proposed. In this paper, a new distance function of D numbers based on exclusive degree is proposed to measure the distance between two D numbers. The proposed function is an generalization of distance between two BPAs, which inherits the advantage of Dempster-Shafer theory and strengthens the capability of uncertainty modeling. When the exclusive degree between each pair of D numbers equals to 1, the proposed function can be degenerated as the distance function defined by Anne-Laure Jousselme.\",\"PeriodicalId\":213716,\"journal\":{\"name\":\"The Journal of Information and Computational Science\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Information and Computational Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12733/JICS20105543\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Information and Computational Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12733/JICS20105543","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Distance Function of D Numbers Based on Exclusive Degree
The mathematical framework of Dempster-Shafer theory is based on some strong hypotheses regarding the frame of discernment and basic probability assignment, which limit the ability of it to represent some types of information. To overcome the shortcomings, a novel theory called D numbers theory is proposed. In this paper, a new distance function of D numbers based on exclusive degree is proposed to measure the distance between two D numbers. The proposed function is an generalization of distance between two BPAs, which inherits the advantage of Dempster-Shafer theory and strengthens the capability of uncertainty modeling. When the exclusive degree between each pair of D numbers equals to 1, the proposed function can be degenerated as the distance function defined by Anne-Laure Jousselme.
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