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The current research on uncertain DEA model is only based on sectional data to calculate DMU\u2019s static efficiency for the DMU\u2019s set in the same period. From this article, we attempt to combine Malmquist productivity index and uncertain DEA model (the uncertain DEA-Malmquist productivity index model) to calculate the dynamic change of DMU\u2019s efficiency over time. Additionally, the impact of technical factors and scale factors on DMU\u2019s efficiency can be further explored and the Malmquist productivity index will be decomposed into pure technical efficiency change, scale efficiency change and technical change. Finally, the article uses the model to analyze the provincial environmental efficiency from 2014 to 2016 in China.<\/jats:p>","DOI":"10.3233\/jifs-222109","type":"journal-article","created":{"date-parts":[[2022,12,30]],"date-time":"2022-12-30T11:40:05Z","timestamp":1672400405000},"page":"5295-5308","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Uncertain DEA-Malmquist productivity index model and its application"],"prefix":"10.1177","volume":"44","author":[{"given":"Jiali","family":"Wu","sequence":"first","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi, China"}]},{"given":"Yuhong","family":"Sheng","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi, China"}]}],"member":"179","published-online":{"date-parts":[[2022,12,29]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(78)90138-8"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.30.9.1078"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12205-018-0401-3"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.seps.2019.04.003"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF03006863"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/1913388"},{"issue":"5","key":"e_1_3_2_8_2","first-page":"1033","article-title":"Productivity growth, technical progress, and efficiency change in industrialized countries: comment","volume":"87","author":"Ray S.C.","year":"1997","unstructured":"RayS.C. and DesliE., Productivity growth, technical progress, and efficiency change in industrialized countries: comment, The American Economic Review 87(5) (1997), 1033\u20131039.","journal-title":"The American Economic Review"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1186\/s12544-018-0339-z"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/hpm.3169"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10614-020-10071-9"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.4018\/ijfsa.2012040101"},{"key":"e_1_3_2_13_2","first-page":"186","article-title":"Malmquist Productivity Index with Grey Data","volume":"10","author":"Oruc K.O.","year":"2015","unstructured":"OrucK.O., Malmquist Productivity Index with Grey Data, Int J Bus Manag 10 (2015), 186.","journal-title":"Int J Bus Manag"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fiae.2017.09.003"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.energy.2021.120481"},{"issue":"4","key":"e_1_3_2_16_2","first-page":"10","article-title":"Malmquist Productivity Index under fuzzy environment","volume":"2","author":"Peykani P.","year":"2021","unstructured":"PeykaniP. and Seyed EsmaeiliF.S., Malmquist Productivity Index under fuzzy environment, Fuzzy Optimization and Modeling Journal 2(4) (2021), 10\u201319.","journal-title":"Fuzzy Optimization and Modeling Journal"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.strueco.2021.05.011"},{"key":"e_1_3_2_18_2","first-page":"1","article-title":"Promoting the efficiency of scientific and technological innovation in regional industrial enterprises: Data-driven DEA-Malmquist evaluation model","author":"Yang Y.","year":"2022","unstructured":"YangY., WuX., LiuF., ZhangY. and LiuC., Promoting the efficiency of scientific and technological innovation in regional industrial enterprises: Data-driven DEA-Malmquist evaluation model, Journal of Intelligent & Fuzzy Systems (Preprint) (2022), 1\u201318.","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"e_1_3_2_19_2","unstructured":"LiuB. 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