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Then, the operations, the comparison method and the Hamming distance measure of IVDHFUL elements (IVDHFULEs) are defined. Besides, we propose the IVDHFUL Choquet geometric (IVDHFULCG) operator. This operator considers the interaction between adjacent coalitions of attributes. To overall capture the correlations among attributes, the Shapely IVDHFULCG (SIVDHFULCG) operator is proposed. In order to simplify the complexity of handling fuzzy measures, we further propose the 2-order additive SIVDHFULCG (2OA-SIVDHFULCG) operator. Moreover, when the weighting information is partly known, models for the optimal fuzzy measures are constructed. Finally, we propose two novel MADM methods and provide two cases to illustrate the specific application of the developed methods.<\/jats:p>","DOI":"10.3233\/jifs-18890","type":"journal-article","created":{"date-parts":[[2019,2,19]],"date-time":"2019-02-19T15:54:53Z","timestamp":1550591693000},"page":"557-574","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Some generalized Shapely interval-valued dual hesitant fuzzy uncertain linguistic Choquet geometric operators and their application to multiple attribute decision making"],"prefix":"10.1177","volume":"36","author":[{"given":"Peide","family":"Liu","sequence":"first","affiliation":[{"name":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guolin","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,2,16]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.09.047"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2012.09.009"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.5802\/aif.53"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.geoderma.2017.10.054"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-016-9436-2"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00168-1"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2017.02.033"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(99)00024-X"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-131085"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/909823"},{"key":"e_1_3_2_12_2","first-page":"1","article-title":"An approach to multi-criteria group decision making with unknown weight information based on Pythagorean fuzzy uncertain linguistic aggregation operators","volume":"2017","author":"Liu C.","year":"2017","unstructured":"LiuC., TangG.L. and LiuP.D., An approach to multi-criteria group decision making with unknown weight information based on Pythagorean fuzzy uncertain linguistic aggregation operators, Mathematical Problems in Engineering 2017 (2017), 1\u201318.","journal-title":"Mathematical Problems in Engineering"},{"key":"e_1_3_2_13_2","first-page":"540","volume-title":"Proceedings of the 2017 International Conference on Machine Learning and Cybernetics","author":"Liu P.D.","year":"2017","unstructured":"LiuP.D., ChenS.M., TangG.L., Multicriteria decision making based on the Choquet integral of 2-dimensional information, in Proceedings of the 2017 International Conference on Machine Learning and Cybernetics, Ningbo, China, 2017, pp. 540\u2013545."},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.04.014"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2017.10.017"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-016-9428-2"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21624"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matdes.2017.02.041"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2016.2638498"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.01.024"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-015-0356-3"},{"key":"e_1_3_2_22_2","unstructured":"ShapleyL.S. 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