{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T17:07:55Z","timestamp":1776877675518,"version":"3.51.2"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,3,23]],"date-time":"2024-03-23T00:00:00Z","timestamp":1711152000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,3,23]],"date-time":"2024-03-23T00:00:00Z","timestamp":1711152000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62203026"],"award-info":[{"award-number":["62203026"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Funding of Science and Technology on Reliability and Environmental Engineering Laboratory","award":["6142004220101"],"award-info":[{"award-number":["6142004220101"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Fuzzy Optim Decis Making"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s10700-024-09421-1","type":"journal-article","created":{"date-parts":[[2024,3,23]],"date-time":"2024-03-23T22:01:37Z","timestamp":1711231297000},"page":"279-294","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Uncertain nonlinear time series analysis with applications to motion analysis and epidemic spreading"],"prefix":"10.1007","volume":"23","author":[{"given":"Jinsheng","family":"Xie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Waichon","family":"Lio","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,3,23]]},"reference":[{"issue":"1","key":"9421_CR1","doi-asserted-by":"publisher","first-page":"1391","DOI":"10.3233\/JIFS-201724","volume":"40","author":"D Chen","year":"2021","unstructured":"Chen, D., & Yang, X. (2021). Maximum likelihood estimation for uncertain autoregressive model with application to carbon dioxide emissions. Journal of Intelligent & Fuzzy Systems, 40(1), 1391\u20131399.","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"issue":"9","key":"9421_CR2","doi-asserted-by":"publisher","first-page":"13017","DOI":"10.1007\/s12652-022-04170-8","volume":"14","author":"B Jiang","year":"2023","unstructured":"Jiang, B., & Ye, T. (2023). Uncertain panel regression analysis with application to the impact of urbanization on electricity intensity. Journal of Ambient Intelligence and Humanized Computing, 14(9), 13017\u201313029.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"issue":"2","key":"9421_CR3","doi-asserted-by":"publisher","first-page":"2573","DOI":"10.3233\/JIFS-18353","volume":"35","author":"W Lio","year":"2018","unstructured":"Lio, W., & Liu, B. (2018). Residual and confidence interval for uncertain regression model with imprecise observations. Journal of Intelligent & Fuzzy Systems, 35(2), 2573\u20132583.","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"issue":"13","key":"9421_CR4","doi-asserted-by":"publisher","first-page":"9351","DOI":"10.1007\/s00500-020-04951-3","volume":"24","author":"W Lio","year":"2020","unstructured":"Lio, W., & Liu, B. (2020). Uncertain maximum likelihood estimation with application to uncertain regression analysis. Soft Computing, 24(13), 9351\u20139360.","journal-title":"Soft Computing"},{"key":"9421_CR5","volume-title":"Uncertainty theory","author":"B Liu","year":"2007","unstructured":"Liu, B. (2007). Uncertainty theory (2nd ed.). Springer.","edition":"2"},{"issue":"1","key":"9421_CR6","first-page":"3","volume":"3","author":"B Liu","year":"2009","unstructured":"Liu, B. (2009). Some research problems in uncertainty theory. Journal of Uncertain Systems, 3(1), 3\u201310.","journal-title":"Journal of Uncertain Systems"},{"key":"9421_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-13959-8","volume-title":"Uncertainty theory: A branch of mathematics for modeling human uncertainty","author":"B Liu","year":"2010","unstructured":"Liu, B. (2010). Uncertainty theory: A branch of mathematics for modeling human uncertainty. Springer."},{"key":"9421_CR8","unstructured":"Liu, B. (2023). Uncertainty theory (5th ed.). https:\/\/cloud.tsinghua.edu.cn\/d\/df71e9ec330e49e59c9c\/."},{"issue":"4","key":"9421_CR9","doi-asserted-by":"publisher","first-page":"2243001","DOI":"10.1142\/S1752890922430012","volume":"15","author":"Y Liu","year":"2022","unstructured":"Liu, Y. (2022). Analysis of China\u2019s population with uncertain statistics. Journal of Uncertain Systems, 15(4), 2243001.","journal-title":"Journal of Uncertain Systems"},{"issue":"4","key":"9421_CR10","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/s10700-021-09379-4","volume":"21","author":"Y Liu","year":"2022","unstructured":"Liu, Y., & Liu, B. (2022). Residual analysis and parameter estimation of uncertain differential equations. Fuzzy Optimization and Decision Making, 21(4), 513\u2013530.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9421_CR11","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2022.2160461","author":"Y Liu","year":"2023","unstructured":"Liu, Y. (2023). Moment estimation for uncertain regression model with application to factors analysis of grain yield. Communications in Statistics-Simulation and Computation. https:\/\/doi.org\/10.1080\/03610918.2022.2160461","journal-title":"Communications in Statistics-Simulation and Computation"},{"key":"9421_CR12","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2023.2248534","author":"Y Liu","year":"2023","unstructured":"Liu, Y., & Liu, B. (2023a). A modified uncertain maximum likelihood estimation with applications in uncertain statistics. Communications in Statistics-Theory and Methods. https:\/\/doi.org\/10.1080\/03610926.2023.2248534","journal-title":"Communications in Statistics-Theory and Methods"},{"key":"9421_CR13","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2023.2269451","author":"Y Liu","year":"2023","unstructured":"Liu, Y., & Liu, B. (2023b). Estimation of uncertainty distribution function by the principle of least squares. Communications in Statistics-Theory and Methods. https:\/\/doi.org\/10.1080\/03610926.2023.2269451","journal-title":"Communications in Statistics-Theory and Methods"},{"issue":"2","key":"9421_CR14","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s10700-020-09340-x","volume":"20","author":"Z Liu","year":"2021","unstructured":"Liu, Z. (2021). Uncertain growth model for the cumulative number of COVID-19 infections in China. Fuzzy Optimization and Decision Making, 20(2), 229\u2013242.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9421_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-023-09415-5","author":"L Yang","year":"2023","unstructured":"Yang, L., & Liu, Y. (2023). Solution method and parameter estimation of uncertain partial differential equation with application to China\u2019s population. Fuzzy Optimization and Decision Making. https:\/\/doi.org\/10.1007\/s10700-023-09415-5","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"3","key":"9421_CR16","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1007\/s10700-018-9298-z","volume":"18","author":"X Yang","year":"2019","unstructured":"Yang, X., & Liu, B. (2019). Uncertain time series analysis with imprecise observations. Fuzzy Optimization and Decision Making, 18(3), 263\u2013278.","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"17","key":"9421_CR17","doi-asserted-by":"publisher","first-page":"4134","DOI":"10.1080\/03610926.2020.1713373","volume":"50","author":"X Yang","year":"2021","unstructured":"Yang, X., & Ni, Y. (2021). Least squares estimation for uncertain moving average model. Communications in Statistics-Theory and Methods, 50(17), 4134\u20134143.","journal-title":"Communications in Statistics-Theory and Methods"},{"issue":"3","key":"9421_CR18","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/s10700-022-09399-8","volume":"22","author":"X Yang","year":"2023","unstructured":"Yang, X., & Ke, H. (2023). Uncertain interest rate model for Shanghai interbank offered rate and pricing of American swaption. Fuzzy Optimization and Decision Making, 22(3), 447\u2013462.","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"2","key":"9421_CR19","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1007\/s10700-020-09339-4","volume":"20","author":"T Ye","year":"2021","unstructured":"Ye, T., & Yang, X. (2021). Analysis and prediction of confirmed cases of COVID-19 in China by uncertain time series. Fuzzy Optimization and Decision Making, 20(2), 209\u2013228.","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"2","key":"9421_CR20","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/s10700-021-09365-w","volume":"21","author":"T Ye","year":"2022","unstructured":"Ye, T., & Liu, B. (2022). Uncertain hypothesis test with application to uncertain regression analysis. Fuzzy Optimization and Decision Making, 21(2), 157\u2013174.","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"4","key":"9421_CR21","doi-asserted-by":"publisher","first-page":"2243003","DOI":"10.1142\/S1752890922430036","volume":"15","author":"T Ye","year":"2022","unstructured":"Ye, T., & Kang, R. (2022). Modeling grain yield in China with uncertain time series model. Journal of Uncertain Systems, 15(4), 2243003.","journal-title":"Journal of Uncertain Systems"},{"issue":"2","key":"9421_CR22","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/s10700-022-09389-w","volume":"22","author":"T Ye","year":"2023","unstructured":"Ye, T., & Liu, B. (2023a). Uncertain hypothesis test for uncertain differential equations. Fuzzy Optimization and Decision Making, 22(2), 195\u2013211.","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"20","key":"9421_CR24","doi-asserted-by":"publisher","first-page":"7271","DOI":"10.1080\/03610926.2022.2042562","volume":"52","author":"T Ye","year":"2023","unstructured":"Ye, T., & Liu, B. (2023b). Uncertain significance test for regression coefficients with application to regional economic analysis. Communications in Statistics-Theory and Methods, 52(20), 7271\u20137288.","journal-title":"Communications in Statistics-Theory and Methods"},{"issue":"6","key":"9421_CR23","doi-asserted-by":"publisher","first-page":"10621","DOI":"10.3233\/JIFS-230179","volume":"44","author":"T Ye","year":"2023","unstructured":"Ye, T., & Zheng, H. (2023). Analysis of birth rates in China with uncertain statistics. Journal of Intelligent & Fuzzy Systems, 44(6), 10621\u201310632.","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"9421_CR25","unstructured":"Ye, T. (2023). Analysis of labour income share in China with uncertain regression model. Technical Report."}],"container-title":["Fuzzy Optimization and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-024-09421-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10700-024-09421-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-024-09421-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,18]],"date-time":"2024-04-18T06:14:16Z","timestamp":1713420856000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10700-024-09421-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,23]]},"references-count":25,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["9421"],"URL":"https:\/\/doi.org\/10.1007\/s10700-024-09421-1","relation":{},"ISSN":["1568-4539","1573-2908"],"issn-type":[{"value":"1568-4539","type":"print"},{"value":"1573-2908","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3,23]]},"assertion":[{"value":"21 February 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 March 2024","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}