{"title":"Constructing fuzzy numbers from arbitrary statistical intervals","authors":"Kingsley Adjenughwure, B. Papadopoulos","doi":"10.1109/EAIS.2018.8397171","DOIUrl":null,"url":null,"abstract":"We show a simple method to construct a fuzzy number from an arbitrary statistical interval around the mean (or central value) of a sample while considering the uncertainty in the assumed distribution. Furthermore, we discuss its relationship with probability-possibility transformations and fuzzy estimators. Finally, we suggest some possible applications in evolving information systems of the proposed fuzzy number and other fuzzy numbers which can be constructed from well-known statistical intervals.","PeriodicalId":368737,"journal":{"name":"2018 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EAIS.2018.8397171","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
We show a simple method to construct a fuzzy number from an arbitrary statistical interval around the mean (or central value) of a sample while considering the uncertainty in the assumed distribution. Furthermore, we discuss its relationship with probability-possibility transformations and fuzzy estimators. Finally, we suggest some possible applications in evolving information systems of the proposed fuzzy number and other fuzzy numbers which can be constructed from well-known statistical intervals.