{"title":"Fuzzy reliability:Type II censoring test without replacement","authors":"R. Amirzadeh, A. Parchami, M. Mashinchi","doi":"10.1109/IS.2008.4670410","DOIUrl":null,"url":null,"abstract":"In this paper, using a family of confidence intervals, we construct a triangular shaped fuzzy number as the estimator for mean lifetime as well as the estimator for reliability function of a component. We derive the explicit and unique membership functions of these fuzzy estimators. Our attention is on the case where the lifetime has an exponential distribution. Numerical examples are given to show the performance of the method.","PeriodicalId":305750,"journal":{"name":"2008 4th International IEEE Conference Intelligent Systems","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 4th International IEEE Conference Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IS.2008.4670410","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, using a family of confidence intervals, we construct a triangular shaped fuzzy number as the estimator for mean lifetime as well as the estimator for reliability function of a component. We derive the explicit and unique membership functions of these fuzzy estimators. Our attention is on the case where the lifetime has an exponential distribution. Numerical examples are given to show the performance of the method.