{"title":"改进直觉模糊交叉熵及其在模式识别中的应用","authors":"Peimin Wei, Jun Ye","doi":"10.1109/ISKE.2010.5680807","DOIUrl":null,"url":null,"abstract":"In this paper, considered the information carried by the membership, the non-membership and the intuitionistic index in intuitionistic fuzzy sets (IFSs) as probability spaces, a modified cross-entropy measure between two IFSs is proposed to overcome the drawback of the intuitionistic fuzzy cross-entropy measure proposed by Vlachos and Sergiadis and the notion of symmetric discrimination information measure for IFSs is introduced. Finally, numerical examples are presented to demonstrate the efficiency of the proposed discrimination information measure for pattern recognition and medical diagnosis.","PeriodicalId":6417,"journal":{"name":"2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering","volume":"9 1","pages":"114-116"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":"{\"title\":\"Improved intuitionistic fuzzy cross-entropy and its application to pattern recognitions\",\"authors\":\"Peimin Wei, Jun Ye\",\"doi\":\"10.1109/ISKE.2010.5680807\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, considered the information carried by the membership, the non-membership and the intuitionistic index in intuitionistic fuzzy sets (IFSs) as probability spaces, a modified cross-entropy measure between two IFSs is proposed to overcome the drawback of the intuitionistic fuzzy cross-entropy measure proposed by Vlachos and Sergiadis and the notion of symmetric discrimination information measure for IFSs is introduced. Finally, numerical examples are presented to demonstrate the efficiency of the proposed discrimination information measure for pattern recognition and medical diagnosis.\",\"PeriodicalId\":6417,\"journal\":{\"name\":\"2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering\",\"volume\":\"9 1\",\"pages\":\"114-116\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"29\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISKE.2010.5680807\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISKE.2010.5680807","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Improved intuitionistic fuzzy cross-entropy and its application to pattern recognitions
In this paper, considered the information carried by the membership, the non-membership and the intuitionistic index in intuitionistic fuzzy sets (IFSs) as probability spaces, a modified cross-entropy measure between two IFSs is proposed to overcome the drawback of the intuitionistic fuzzy cross-entropy measure proposed by Vlachos and Sergiadis and the notion of symmetric discrimination information measure for IFSs is introduced. Finally, numerical examples are presented to demonstrate the efficiency of the proposed discrimination information measure for pattern recognition and medical diagnosis.
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