{"title":"连续性定理与随机模糊变量的机会分布","authors":"Yuanguo Zhu, Baoding Liu","doi":"10.1098/rspa.2004.1280","DOIUrl":null,"url":null,"abstract":"A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable are studied. First, some properties of chance measure of random fuzzy events are given. Then, several continuity theorems for random fuzzy sequences are investigated. Furthermore, the concept of chance distribution for a random fuzzy variable is presented, and some properties of chance distribution are obtained.","PeriodicalId":20722,"journal":{"name":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","volume":"2 1","pages":"2505 - 2519"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":"{\"title\":\"Continuity theorems and chance distribution of random fuzzy variables\",\"authors\":\"Yuanguo Zhu, Baoding Liu\",\"doi\":\"10.1098/rspa.2004.1280\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable are studied. First, some properties of chance measure of random fuzzy events are given. Then, several continuity theorems for random fuzzy sequences are investigated. Furthermore, the concept of chance distribution for a random fuzzy variable is presented, and some properties of chance distribution are obtained.\",\"PeriodicalId\":20722,\"journal\":{\"name\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"volume\":\"2 1\",\"pages\":\"2505 - 2519\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"29\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rspa.2004.1280\",\"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 the Royal Society of London. Series A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.2004.1280","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Continuity theorems and chance distribution of random fuzzy variables
A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable are studied. First, some properties of chance measure of random fuzzy events are given. Then, several continuity theorems for random fuzzy sequences are investigated. Furthermore, the concept of chance distribution for a random fuzzy variable is presented, and some properties of chance distribution are obtained.
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Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.
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