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However, specifying the membership function or probability distribution is not always easy. This paper proposes a new method by assuming the inputs and outputs vary within a bounded interval and using interval analysis to extend the classic radial DEA models to two non-radial DEA models with bounded uncertainty, respectively. One is used to obtain efficiencies on the basis of slacks-based measurement (SBM) of super-efficiency DEA model, and the other is used to identify specific inefficiencies on the basis of additive super-efficiency DEA model for the decision making units (DMU) under evaluation. To solve the interval non-radial DEA models, the paper adopts the optimization theory to transform the uncertain two-level programs into deterministic one-level programs, and an acceptability index to compare and rank any of the resulting interval efficiencies. Numerical analysis illustrates the advantage of this new approach against conventional methods.<\/jats:p>","DOI":"10.3233\/jifs-169217","type":"journal-article","created":{"date-parts":[[2017,5,26]],"date-time":"2017-05-26T14:44:27Z","timestamp":1495809867000},"page":"4533-4542","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Two non-radial measures of super-efficiency in DEA with data uncertainty"],"prefix":"10.1177","volume":"32","author":[{"given":"Xiaoning","family":"Xu","sequence":"first","affiliation":[{"name":"School of Economics and Management, Tsinghua University, Beijing, P.R. China"}]},{"given":"Rong","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Tsinghua University, Beijing, P.R. 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