{"title":"模糊测度的绝对连续性","authors":"Zhenyuan Wang, G. Klir, Wei Wang","doi":"10.1109/FUZZY.1995.409671","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to investigate the issue systematically. We identify 9 generalized types of absolute continuity which possess desirable properties, such as reflexivity and transitivity. We also study the relationship between these distinct types of absolute continuity and determine which of them are possessed by the fuzzy measure (or the lower semicontinuous fuzzy measure) defined by the fuzzy integral.<<ETX>>","PeriodicalId":150477,"journal":{"name":"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Absolute continuity of fuzzy measures\",\"authors\":\"Zhenyuan Wang, G. Klir, Wei Wang\",\"doi\":\"10.1109/FUZZY.1995.409671\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to investigate the issue systematically. We identify 9 generalized types of absolute continuity which possess desirable properties, such as reflexivity and transitivity. We also study the relationship between these distinct types of absolute continuity and determine which of them are possessed by the fuzzy measure (or the lower semicontinuous fuzzy measure) defined by the fuzzy integral.<<ETX>>\",\"PeriodicalId\":150477,\"journal\":{\"name\":\"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.\",\"volume\":\"70 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZY.1995.409671\",\"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 1995 IEEE International Conference on Fuzzy Systems.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.1995.409671","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of this paper is to investigate the issue systematically. We identify 9 generalized types of absolute continuity which possess desirable properties, such as reflexivity and transitivity. We also study the relationship between these distinct types of absolute continuity and determine which of them are possessed by the fuzzy measure (or the lower semicontinuous fuzzy measure) defined by the fuzzy integral.<>