{"title":"基于容差关系和最大一致性的模糊k分区的生成","authors":"T. Murai, A. Kitada, Yoshiharu Sato","doi":"10.1109/KES.1997.619412","DOIUrl":null,"url":null,"abstract":"A method of generating fuzzy k-partitions is proposed based on tolerance relations and maximal consistency. In particular, emphasis is put on the point that general cases of more than two clusters can be reduced to special cases of two clusters in both crisp and fuzzy partitions. Then a way of generating fuzzy subsets can be shown to be applied to the generation of fuzzy k-partitions.","PeriodicalId":166931,"journal":{"name":"Proceedings of 1st International Conference on Conventional and Knowledge Based Intelligent Electronic Systems. KES '97","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generation of fuzzy k-partitions based on tolerance relations and maximal consistency\",\"authors\":\"T. Murai, A. Kitada, Yoshiharu Sato\",\"doi\":\"10.1109/KES.1997.619412\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method of generating fuzzy k-partitions is proposed based on tolerance relations and maximal consistency. In particular, emphasis is put on the point that general cases of more than two clusters can be reduced to special cases of two clusters in both crisp and fuzzy partitions. Then a way of generating fuzzy subsets can be shown to be applied to the generation of fuzzy k-partitions.\",\"PeriodicalId\":166931,\"journal\":{\"name\":\"Proceedings of 1st International Conference on Conventional and Knowledge Based Intelligent Electronic Systems. KES '97\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1st International Conference on Conventional and Knowledge Based Intelligent Electronic Systems. KES '97\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/KES.1997.619412\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1st International Conference on Conventional and Knowledge Based Intelligent Electronic Systems. KES '97","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/KES.1997.619412","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generation of fuzzy k-partitions based on tolerance relations and maximal consistency
A method of generating fuzzy k-partitions is proposed based on tolerance relations and maximal consistency. In particular, emphasis is put on the point that general cases of more than two clusters can be reduced to special cases of two clusters in both crisp and fuzzy partitions. Then a way of generating fuzzy subsets can be shown to be applied to the generation of fuzzy k-partitions.