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Article type: Research Article
Authors: Lin, Yanga; b | Wang, Ying-Minga; * | Chen, Sheng-Qunc
Affiliations: [a] Decision Sciences Institute, Fuzhou University, Fuzhou, PR China | [b] School of Economics, Fujian Normal University, Fuzhou, PR China | [c] School of Electronic Information Science, Fujianjiangxia University, Fuzhou, PR China
Correspondence: [*] Corresponding author. Ying-Ming Wang, Decision Sciences Institute, Fuzhou University, Fuzhou 350116, PR China. Tel.: +86 0591 22866677; E-mail: [email protected].
Abstract: Hesitant multiplicative preference relation (HMPR) is a straightforward and efficient tool for representing hesitant fuzzy information in decision making. 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.
Keywords: Hesitant fuzzy set, hesitant multiplicative preference relation, multistage decision making, priority ranking, least square deviation method
DOI: 10.3233/JIFS-152630
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 691-701, 2017
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