{"title":"广义最大α熵原理","authors":"M. S. Tabass, G. M. Borzadran","doi":"10.1504/IJMOR.2018.10009201","DOIUrl":null,"url":null,"abstract":"Generalisations of maximum entropy principle (MEP) and minimum discrimination information principle (MDIP) are described by Kapur and Kesavan (1989) . In this paper, we used generalised entropies and replaced Shannon entropy with Tsallis entropy when α = 2 . The generalisation has been achieved by the entropy maximisation postulate and examining its consequences . The inverse principles which are inherent in the maximum α entropy and minimum discrimination α entropy are made in the new methodology.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The generalised maximum α entropy principle\",\"authors\":\"M. S. Tabass, G. M. Borzadran\",\"doi\":\"10.1504/IJMOR.2018.10009201\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generalisations of maximum entropy principle (MEP) and minimum discrimination information principle (MDIP) are described by Kapur and Kesavan (1989) . In this paper, we used generalised entropies and replaced Shannon entropy with Tsallis entropy when α = 2 . The generalisation has been achieved by the entropy maximisation postulate and examining its consequences . The inverse principles which are inherent in the maximum α entropy and minimum discrimination α entropy are made in the new methodology.\",\"PeriodicalId\":306451,\"journal\":{\"name\":\"Int. J. Math. Oper. Res.\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Math. Oper. Res.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/IJMOR.2018.10009201\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Oper. Res.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJMOR.2018.10009201","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalisations of maximum entropy principle (MEP) and minimum discrimination information principle (MDIP) are described by Kapur and Kesavan (1989) . In this paper, we used generalised entropies and replaced Shannon entropy with Tsallis entropy when α = 2 . The generalisation has been achieved by the entropy maximisation postulate and examining its consequences . The inverse principles which are inherent in the maximum α entropy and minimum discrimination α entropy are made in the new methodology.