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In these problems, a non-radial enhanced slack-based model is employed in the presence of hybrid interval data, which includes both continuous and integer interval data. Under this scenario, novel necessary and sufficient conditions to estimate outputs are considered based on the Pareto solution of related multi-objective nonlinear programming (MONLP). Furthermore, an example is presented to illustrate the problems associated with hybrid interval data. Finally, the conclusion and future work are presented\n                  <\/jats:p>","DOI":"10.1007\/s40314-025-03610-3","type":"journal-article","created":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T06:00:41Z","timestamp":1770098441000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Applying an enhanced hybrid interval slacks-based model to solve inverse DEA to estimate outputs"],"prefix":"10.1007","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2063-3011","authenticated-orcid":false,"given":"Atefeh","family":"Younesi","sequence":"first","affiliation":[]},{"given":"Farhad","family":"Hosseinzadeh Lotfi","sequence":"additional","affiliation":[]},{"given":"Seyed Meysam","family":"Mousavi","sequence":"additional","affiliation":[]},{"given":"Ali Reza","family":"Bahari","sequence":"additional","affiliation":[]},{"given":"Manuel","family":"Arana-Jim\u00e9nez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,2,3]]},"reference":[{"key":"3610_CR1","doi-asserted-by":"crossref","unstructured":"Arana-Jim\u00e9nez M (ed) (2010) Optimiality conditions in vector optimization. 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