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The traditional hesitant fuzzy multi-attribute decision making (MADM) can only choose an optimal strategy, which is not suitable for all of the complex scenarios. Typically, in practical application, decision making problems may be more complicated involving three options of acceptance, non-commitment and rejection decisions. Three-way decisions, which divide universe into three disjoint regions by a pair of thresholds, are more efficient to deal with these problems. Therefore, how to utilize three-way decision theory to process hesitant fuzzy information is an essential issue to be studied. In this paper, from the perspective of hesitant fuzzy distance, a hesitant fuzzy three-way decision model is proposed. First, because hesitant fuzzy element (HFE) is a set of several possible membership degrees, it cannot be compared with thresholds directly. Hence, this paper converts it into the comparison between the distance and the thresholds. Then, to calculate thresholds more reasonably, shadowed set theory is introduced to avoid the subjectivity of threshold acquisition. Furthermore, sequential strategy is adopted to solve the multi-attribute decision making problems. Finally, an example of medical diagnosis and simulation experiments are given to prove the accuracy and efficiency of the proposed hesitant fuzzy three-way decision model.<\/jats:p>","DOI":"10.3233\/jifs-201524","type":"journal-article","created":{"date-parts":[[2021,3,2]],"date-time":"2021-03-02T13:05:49Z","timestamp":1614690349000},"page":"9073-9084","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["A sequential three-way decision model based on hesitant fuzzy sets"],"prefix":"10.1177","volume":"40","author":[{"given":"Mo","family":"Zhang","sequence":"first","affiliation":[{"name":"Chongqing University of Posts and Telecommunications","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qinghua","family":"Zhang","sequence":"additional","affiliation":[{"name":"Chongqing University of Posts and Telecommunications","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Man","family":"Gao","sequence":"additional","affiliation":[{"name":"Chongqing University of Posts and Telecommunications","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2021,2,26]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-190205"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.04.022"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbi.2018.10.003"},{"issue":"12","key":"e_1_3_2_6_2","first-page":"204","article-title":"An approach to evaluating three-dimension reconstruction image quality with hesitant fuzzy information","volume":"4","author":"Jiang F.L.","year":"2018","unstructured":"JiangF.L., An approach to evaluating three-dimension reconstruction image quality with hesitant fuzzy information, Journal of Computational and Theoretical Nanoscience 4(12) (2018), 204\u2013210.","journal-title":"Journal of Computational and Theoretical Nanoscience"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-171941"},{"issue":"11","key":"e_1_3_2_8_2","first-page":"1583","article-title":"Artificial intelligence with uncertainty","volume":"15","author":"Li D.Y.","year":"2004","unstructured":"LiD.Y., LiuC.Y., DuY. and HanX., Artificial intelligence with uncertainty, Journal of Software 15(11) (2004), 1583\u20131594.","journal-title":"Journal of Software"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2014.2310495"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.038"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.038"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2018.2849368"},{"issue":"4","key":"e_1_3_2_13_2","first-page":"649","article-title":"Recognition structure of uncertainty: a unified framework for representation, reasoning and learning","volume":"13","author":"Liu J.","year":"2002","unstructured":"LiuJ., ChenX.P., CaiQ.S. and FanY., Recognition structure of uncertainty: a unified framework for representation, reasoning and learning, Journal of Software 13(4) (2002), 649\u2013651.","journal-title":"Journal of Software"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/3477.658584"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141474"},{"issue":"6","key":"e_1_3_2_17_2","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra V.","year":"2010","unstructured":"TorraV., Hesitant fuzzy sets, International Journal of Intelligent Systems 25(6) (2010), 529\u2013539.","journal-title":"International Journal of Intelligent Systems"},{"key":"e_1_3_2_18_2","doi-asserted-by":"crossref","unstructured":"TorraV. and NarukawaY. 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