{"title":"迁移三角范数","authors":"J. Fodor, I. Rudas","doi":"10.1109/SACI.2007.375478","DOIUrl":null,"url":null,"abstract":"In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms. We also study cases when the construction results in a smooth generator.","PeriodicalId":138224,"journal":{"name":"2007 4th International Symposium on Applied Computational Intelligence and Informatics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Migrative Triangular Norms\",\"authors\":\"J. Fodor, I. Rudas\",\"doi\":\"10.1109/SACI.2007.375478\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms. We also study cases when the construction results in a smooth generator.\",\"PeriodicalId\":138224,\"journal\":{\"name\":\"2007 4th International Symposium on Applied Computational Intelligence and Informatics\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 4th International Symposium on Applied Computational Intelligence and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SACI.2007.375478\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 4th International Symposium on Applied Computational Intelligence and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SACI.2007.375478","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms. We also study cases when the construction results in a smooth generator.