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Indeed, Decision Makers (DMs) may encounter a hybrid uncertain environment where fuzziness and randomness coexist in a problem. Hence, we formulate a new DEA model to deal with fuzzy stochastic DEA models. The contributions of the present study are fivefold: (1) We formulate a deterministic linear model according to the probability\u2013possibility approach for solving input-oriented fuzzy stochastic DEA model, (2) In contrast to the existing approach, which is infeasible for some threshold values; the proposed approach is feasible for all threshold values, (3) We apply the cross-efficiency technique to increase the discrimination power of the proposed fuzzy stochastic DEA model and to rank the efficient DMUs, (4) We solve two numerical examples to illustrate the proposed approach and to describe the effects of threshold values on the efficiency results, and (5) We present a pilot study for the NATO enlargement problem to demonstrate the applicability of the proposed model.<\/jats:p>","DOI":"10.1051\/ro\/2018075","type":"journal-article","created":{"date-parts":[[2018,9,6]],"date-time":"2018-09-06T10:03:27Z","timestamp":1536228207000},"page":"705-721","source":"Crossref","is-referenced-by-count":15,"title":["Fuzzy stochastic Data Envelopment Analysis with application to NATO enlargement problem"],"prefix":"10.1051","volume":"53","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6003-6601","authenticated-orcid":false,"given":"Ali","family":"Ebrahimnejad","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Seyed Hadi","family":"Nasseri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Omid","family":"Gholami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2019,6,13]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1504\/EJIE.2016.076386","volume":"10","author":"Aghayi","year":"2016","journal-title":"Eur. 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