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The aim of this paper is to develop a method to obtain priority vectors from HMPRs in the context of multistage decision-making (MSDM). To start the investigation, a simple linear programming model motivated by the idea of orness is purposed to calculate the relative weights of different stages. Based on these obtained weights, we develop a least square deviation method as well as a convergent iterative algorithm for prioritizing and ranking the MSDM- HMPR problems. The prominent property of this method is then studied. Finally, a practical example concerning the selection of logistics service providers is given to illustrate the feasibility and applicability of the proposed approach.<\/jats:p>","DOI":"10.3233\/jifs-152630","type":"journal-article","created":{"date-parts":[[2017,1,17]],"date-time":"2017-01-17T13:27:45Z","timestamp":1484659665000},"page":"691-701","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Multistage decision making based on prioritization of hesitant multiplicative preference relations"],"prefix":"10.1177","volume":"32","author":[{"given":"Yang","family":"Lin","sequence":"first","affiliation":[{"name":"Decision Sciences Institute, Fuzhou University, Fuzhou, PR China"},{"name":"School of Economics, Fujian Normal University, Fuzhou, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying-Ming","family":"Wang","sequence":"additional","affiliation":[{"name":"Decision Sciences Institute, Fuzhou University, Fuzhou, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sheng-Qun","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electronic Information Science, Fujianjiangxia University, Fuzhou, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,1,13]]},"reference":[{"key":"e_1_3_2_2_2","volume-title":"The analytic hierarchy process","author":"Saaty T.L.","year":"1980","unstructured":"SaatyT.L., The analytic hierarchy process, McGraw Hill, New York, US, 1980."},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2014.06.019"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2014.12.034"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.01.010"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2012.2202907"},{"key":"e_1_3_2_7_2","first-page":"172","volume-title":"Proceedings of 7th Information Processing and Mangement of Uncertainty in Knowledge-based Systems Conference","author":"Szmidt E.","year":"1998","unstructured":"SzmidtE. and KacprzykJ., Group decision making under intuitionistic fuzzy preference relations, Proceedings of 7th Information Processing and Mangement of Uncertainty in Knowledge-based Systems Conference, Paris, 1998, pp. 172\u2013178."},{"key":"e_1_3_2_8_2","article-title":"A multi-criteria decision-making method based on triangular intuitionistic fuzzy preference information","author":"Wang C.","unstructured":"WangC. and WangJ.Q., A multi-criteria decision-making method based on triangular intuitionistic fuzzy preference information, Intelligent Automation & Soft Computing. 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