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In this study, we illustrate investment decision from the view of three-way group decisions. Linguistic scale is widely used during assessment, but the randomness and fuzziness of linguistic information are ignored. To cover these defects, this study introduces cloud to three-way group decisions and further extends cloud to medical care product investment decision in which the weights of experts are unknown. In our proposed model, the loss functions and conditional probability described by linguistic values in decision theoretic rough sets are converted to clouds, which can handle the fuzziness and randomness of linguistic information. The corresponding three-way decision rules are also derived from a cloud perspective. In addition, we define a new derivation degree based on the score function of cloud to determine the weights of experts in three-way group decisions. To validate the feasibility of our model, comparisons with the existing model are presented.<\/jats:p>","DOI":"10.3233\/jifs-162340","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:28:37Z","timestamp":1512131317000},"page":"3405-3417","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Three-way linguistic group decisions model\u00a0based on cloud for medical care product investment"],"prefix":"10.1177","volume":"33","author":[{"given":"Junhua","family":"Hu","sequence":"first","affiliation":[{"name":"School of Business, Central South University, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yao","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Business, Central South University, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaohong","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Business, Central South University, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,12]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"66","article-title":"Three-way investment decisions with decision-theoretic rough sets","volume":"4","author":"Liu D.","year":"2011","unstructured":"LiuD., YaoY.Y. and LiT.R., Three-way investment decisions with decision-theoretic rough sets, International Journal of Computational Intelligence Systems4 (2011), 66\u201374.","journal-title":"International Journal of Computational Intelligence Systems"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.techfore.2010.01.013"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.06.019"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.03.019"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02962-2_81"},{"key":"e_1_3_2_7_2","first-page":"1","article-title":"An outline of a theory of three-way decisions","author":"Yao Y.Y.","year":"2012","unstructured":"YaoY.Y., An outline of a theory of three-way decisions, Rough Sets and Current Trends in Computing (2012), 1\u201317.","journal-title":"Rough Sets and Current Trends in Computing"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.11.019"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.09.021"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.3233\/FI-2012-648"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2013.04.006"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.12.036"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10844-013-0254-7"},{"key":"e_1_3_2_14_2","article-title":"A novel TODIM method-based three-way decision model for medical treatment selection","author":"Hu J.H.","year":"2017","unstructured":"HuJ.H., YangY. and ChenX.H., A novel TODIM method-based three-way decision model for medical treatment selection, International Journal of Fuzzy Systems (2017). 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