{"title":"结合随机性和模糊性","authors":"M. Luhandjula","doi":"10.4314/AJST.V5I2.15329","DOIUrl":null,"url":null,"abstract":"Fuzzy random variable (frv) is one of the most successful mathematical tool for taking an intellectual step towards situations where randomness and fuzziness co-occur. This hybrid concept is discussed in this paper along with an outline of its key features. We also list some applications of fuzzy random variables in solving concrete problems and we provide a numerical example showing how randomness and fuzziness can be combined in an optimization setting. The paper ends with some concluding remarks emphasizing perspectives on potential research directions. Keywords : random variable, fuzzy number, fuzzy random variable, optimization African Journal of Science and Technology Vol. 5(2) 2004: 51-59","PeriodicalId":7641,"journal":{"name":"African Journal of Science and Technology","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2006-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Combining randomness and fuzziness\",\"authors\":\"M. Luhandjula\",\"doi\":\"10.4314/AJST.V5I2.15329\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fuzzy random variable (frv) is one of the most successful mathematical tool for taking an intellectual step towards situations where randomness and fuzziness co-occur. This hybrid concept is discussed in this paper along with an outline of its key features. We also list some applications of fuzzy random variables in solving concrete problems and we provide a numerical example showing how randomness and fuzziness can be combined in an optimization setting. The paper ends with some concluding remarks emphasizing perspectives on potential research directions. Keywords : random variable, fuzzy number, fuzzy random variable, optimization African Journal of Science and Technology Vol. 5(2) 2004: 51-59\",\"PeriodicalId\":7641,\"journal\":{\"name\":\"African Journal of Science and Technology\",\"volume\":\"40 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"African Journal of Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/AJST.V5I2.15329\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"African Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/AJST.V5I2.15329","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fuzzy random variable (frv) is one of the most successful mathematical tool for taking an intellectual step towards situations where randomness and fuzziness co-occur. This hybrid concept is discussed in this paper along with an outline of its key features. We also list some applications of fuzzy random variables in solving concrete problems and we provide a numerical example showing how randomness and fuzziness can be combined in an optimization setting. The paper ends with some concluding remarks emphasizing perspectives on potential research directions. Keywords : random variable, fuzzy number, fuzzy random variable, optimization African Journal of Science and Technology Vol. 5(2) 2004: 51-59
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