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Basic operations for IVDHFUBLS are further defined; also a novel distance measure is developed to avoid potential information distortion that could be brought about by traditional complementing methodology for hesitant fuzzy set and its derivatives. In view of the fundamental role of aggregation operators in MAGDM modelling, we next develop some extended power aggregation operators for IVDHFUBLS, including power aggregation operator, weighted power aggregation operator, and induced power ordered weighted aggregation operator; their desirable properties and special cases are also analyzed theoretically. Subsequently, with support of the above methods, we develop two effective approaches for our targeted complex decision\u2010making problems and verify their effectiveness and practicality by numerical studies.<\/jats:p>","DOI":"10.1155\/2018\/3172716","type":"journal-article","created":{"date-parts":[[2018,4,22]],"date-time":"2018-04-22T23:31:25Z","timestamp":1524439885000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Multiple Attributes Group Decision\u2010Making Approaches Based on Interval\u2010Valued Dual Hesitant Fuzzy Unbalanced Linguistic Set and Their Applications"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5472-2290","authenticated-orcid":false,"given":"Xiaowen","family":"Qi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junling","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Changyong","family":"Liang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,4,22]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1111\/radm.12036"},{"key":"e_1_2_9_2_2","volume-title":"The quark and the jaguar","author":"Gell-Mann M.","year":"1994"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-4972(02)00155-4"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1108\/08858621111126974"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1108\/IJCST-02-2014-0022"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cad.2013.06.014"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.10.013"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2007.904343"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.10.018"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2013.12.009"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/3571459"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2015.1046325"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2015.01.003"},{"key":"e_1_2_9_14_2","first-page":"1","article-title":"Using New Version of Extended t-Norms and s-Norms for Aggregating Interval Linguistic Labels","author":"Tao Z.","year":"2016","journal-title":"IEEE Transactions on Systems Man & Cybernetics Systems"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.04.025"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20244"},{"key":"e_1_2_9_17_2","first-page":"229","article-title":"An evaluation model with unbalanced linguistic information applied to olive oil sensory evaluation","volume":"15","author":"Mart\u00ednez L.","year":"2009","journal-title":"Journal of Multiple-Valued Logic and Soft Computing"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.896353"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.09.032"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.08.059"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21633"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-131085"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/879629"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-015-0092-6"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622016500346"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.07.144"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488504003211"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1002\/cplx.21654"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.05.016"},{"key":"e_1_2_9_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2014.10.017"},{"key":"e_1_2_9_31_2","doi-asserted-by":"publisher","DOI":"10.1109\/3468.983429"},{"key":"e_1_2_9_32_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2011.08.004"},{"key":"e_1_2_9_33_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2011.12.025"},{"key":"e_1_2_9_34_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00432-3"},{"key":"e_1_2_9_35_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2010.09.017"},{"key":"e_1_2_9_36_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141474"},{"key":"e_1_2_9_37_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.01.028"},{"key":"e_1_2_9_38_2","doi-asserted-by":"crossref","unstructured":"DongY. 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