{"title":"模糊集的粗化","authors":"S. Bodjanova, M. Kalina","doi":"10.1109/SISY.2013.6662616","DOIUrl":null,"url":null,"abstract":"Transformations of fuzzy sets to fuzzy sets with lower number of different membership grades are studied. Connection between coarseness and specificity of fuzzy sets is explored. The concept of α-level sets is generalized to the concept of p-level sets, which allows homogenization of membership grades of fuzzy sets with respect to more than one parameter.","PeriodicalId":187088,"journal":{"name":"2013 IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Coarsening of fuzzy sets\",\"authors\":\"S. Bodjanova, M. Kalina\",\"doi\":\"10.1109/SISY.2013.6662616\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Transformations of fuzzy sets to fuzzy sets with lower number of different membership grades are studied. Connection between coarseness and specificity of fuzzy sets is explored. The concept of α-level sets is generalized to the concept of p-level sets, which allows homogenization of membership grades of fuzzy sets with respect to more than one parameter.\",\"PeriodicalId\":187088,\"journal\":{\"name\":\"2013 IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SISY.2013.6662616\",\"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 IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SISY.2013.6662616","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Transformations of fuzzy sets to fuzzy sets with lower number of different membership grades are studied. Connection between coarseness and specificity of fuzzy sets is explored. The concept of α-level sets is generalized to the concept of p-level sets, which allows homogenization of membership grades of fuzzy sets with respect to more than one parameter.