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First, the concept of hesitant Fermatean 2\u2010tuple linguistic sets (HF2TLSs) is introduced for characterizing an individual\u2019s imprecision preferences and assessing information by combining 2\u2010tuple linguistic terms and Fermatean fuzzy sets. The advantage of hesitant Fermatean 2\u2010tuple linguistic information is that it can handle higher levels of uncertainty and express the decision\u2010makers\u2019 hesitancy. Second, we extend Bonferroni mean (BM) operators under the background of HF2TLSs for the sake of their application in information fusion and decision making. The Archimedean <jats:italic>t<\/jats:italic>\u2010norm and <jats:italic>s<\/jats:italic>\u2010norm\u2010 (ATS\u2010) based hesitant Fermatean 2\u2010tuple linguistic weighted Bonferroni mean (A\u2010HF2TLWBM) operator and the ATS\u2010based hesitant Fermatean 2\u2010tuple linguistic weighted geometric Bonferroni mean (A\u2010HF2TLWGBM) operator are developed by considering the interrelationship between any two variables. The main benefit of the proposed operators is that these operators deliver more complete and flexible results compared to existing methods. Moreover, some fundamental properties and special cases are examined by adjusting parameter values. Finally, an approach is designed as a support for handling decision making problems, and an example regarding investment selection is provided to demonstrate the practicality of the designed method with a detailed discussion of parameter influence and comparisons with the existing methods.<\/jats:p>","DOI":"10.1155\/2019\/5705907","type":"journal-article","created":{"date-parts":[[2019,12,20]],"date-time":"2019-12-20T23:31:37Z","timestamp":1576884697000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Multicriteria Decision Making Based on Archimedean Bonferroni Mean Operators of Hesitant Fermatean 2\u2010Tuple Linguistic Terms"],"prefix":"10.1155","volume":"2019","author":[{"given":"Huijuan","family":"Wang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9001-2192","authenticated-orcid":false,"given":"Xin","family":"Wang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1462-9443","authenticated-orcid":false,"given":"Lidong","family":"Wang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,12,20]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.3233\/ifs-141416"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7040346"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7010097"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-016-2203-1"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(75)90017-1"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2013.2278989"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21676"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21953"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2011.2170076"},{"key":"e_1_2_11_12_2","first-page":"1","article-title":"Fermatean fuzzy sets","volume":"85","author":"Senapati T.","year":"2019","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2019.05.012"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-24714-4_3"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.3390\/math6040047"},{"key":"e_1_2_11_16_2","first-page":"746","article-title":"A 2-tuple fuzzy linguistic representation model for computing with words","volume":"8","author":"Herrera F.","year":"1999","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/3477.915345"},{"key":"e_1_2_11_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2009.02.034"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2015.1074761"},{"key":"e_1_2_11_20_2","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra V.","year":"2010","journal-title":"International Journal of Systems Science"},{"key":"e_1_2_11_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2015.04.020"},{"key":"e_1_2_11_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-017-0297-y"},{"key":"e_1_2_11_23_2","doi-asserted-by":"publisher","DOI":"10.15388\/informatica.2018.172"},{"key":"e_1_2_11_24_2","first-page":"1","article-title":"Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making","volume":"2","author":"Wei G.","year":"2017","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"e_1_2_11_25_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22079"},{"key":"e_1_2_11_26_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/4541982"},{"key":"e_1_2_11_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-015-0130-4"},{"key":"e_1_2_11_28_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22071"},{"key":"e_1_2_11_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2009.06.004"},{"key":"e_1_2_11_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.04.004"},{"key":"e_1_2_11_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2012.11.013"},{"key":"e_1_2_11_32_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20515"},{"key":"e_1_2_11_33_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.01.048"},{"key":"e_1_2_11_34_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/5937376"},{"key":"e_1_2_11_35_2","volume-title":"Fuzzy sets and fuzzy logic: Theory and applications","author":"Klir G. 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