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This method fully considers the impact of each criterion as well as their mutual relationship on decision analysis. Additionally, we extend this cosine similarity-based method for deriving priorities from a hesitant multiplicative preference relation. This method has a clearer modeling mechanism that the priority vector derived from a hesitant multiplicative preference relation should be as highly cosine-similarity correlated with its column vectors as possible. Then an optimization model can be sequentially established. After that, the proposed methods are demonstrated with two numerical examples and compared with other similar approaches to show the validity and superiority.<\/jats:p>","DOI":"10.3233\/jifs-191034","type":"journal-article","created":{"date-parts":[[2019,12,5]],"date-time":"2019-12-05T04:29:20Z","timestamp":1575520160000},"page":"2261-2271","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Cosine-similarity based approach for weights determination under hesitant fuzzy environment and its extension to priority derivation"],"prefix":"10.1177","volume":"38","author":[{"given":"Yang","family":"Lin","sequence":"first","affiliation":[{"name":"School of Economics, Fujian Normal University, Fujian, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying-Ming","family":"Wang","sequence":"additional","affiliation":[{"name":"Decision Sciences Institute, Fuzhou University, Fujian, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Longzhong","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Economics, Fujian Normal University, Fujian, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,12,2]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"1378","volume-title":"IEEE International Conference on Fuzzy Systems","author":"Torra V.","year":"2009","unstructured":"V.Torra and Y.Narukawa, On hesitant fuzzy sets and decision, IEEE International Conference on Fuzzy Systems, Jeju Island, 2009, pp. 1378\u20131382."},{"key":"e_1_3_2_3_2","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra V.","year":"2010","unstructured":"V.Torra, Hesitant fuzzy sets, International Journal of Intelligent Systems 25 (2010), 529\u2013539.","journal-title":"International Journal of Intelligent Systems"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488513500402"},{"key":"e_1_3_2_5_2","first-page":"6401","article-title":"A topological structure involving hesitant fuzzy sets","volume":"36","author":"Deepak D.","year":"2019","unstructured":"D.Deepak, B.Mathew, S.J.John and H.Garg, A topological structure involving hesitant fuzzy sets, Journal of Intelligent & Fuzzy Systems 36 (2019), 6401\u20136412.","journal-title":"Journal of Intelligent"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2015.11.004"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2014.10.006"},{"key":"e_1_3_2_8_2","first-page":"1","article-title":"Some hesitant fuzzy linguistic Muirhead means with their application to multiattribute group decision-making","volume":"2018","author":"Wang J.","year":"2018","unstructured":"J.Wang, R.T.Zhang, X.M.Zhu, Y.P.Xing and B.Buchmeister, Some hesitant fuzzy linguistic Muirhead means with their application to multiattribute group decision-making, Complexity 2018 (2018), 1\u201316.","journal-title":"Complexity"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.02.020"},{"key":"e_1_3_2_10_2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-44342-2","volume-title":"Encyclopedia of Distances","author":"Deza M.M.","year":"2014","unstructured":"M.M.Deza and E.Deza, Encyclopedia of Distances. 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