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Title: Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making
Authors: Xu, Yejun
Chen, Lei
Rodríguez, Rosa M.
Herrera, Francisco
Wang, Huimin
Abstract: The concept of hesitant fuzzy preference relation (HFPR) has been recently introduced to allow the de- cision makers (DMs) to provide several possible preference values over two alternatives. This paper in- troduces a new type of fuzzy preference structure, called incomplete HFPRs, to describe hesitant and incomplete evaluation information in the group decision making (GDM) process. Furthermore, we define the concept of multiplicative consistency incomplete HFPR and additive consistency incomplete HFPR, and then propose two goal programming models to derive the priority weights from an incomplete HFPR based on multiplicative consistency and additive consistency respectively. These two goal programming models are also extended to obtain the collective priority vector of several incomplete HFPRs. Finally, a numerical example and a practical application in strategy initiatives are provided to illustrate the validity and applicability of the proposed models.
Keywords: Group decision making
Incomplete hesitant fuzzy preference relations
Multiplicative consistency
Additive consistency
Priority weights
Issue Date: May-2016
metadata.dc.description.sponsorship: National Natural Science Foundation of China (NSFC) under Grants (nos. 71101043 , 71471056 and 71433003 ), the Fundamental Research Funds for the Central Universities (no. 2015B23014 ), Program for Excellent Talents in Ho- hai University, State Scholarship Fund (no. 201406715021 ), and Spanish Ministry of Economy and Finance Postdoctoral Training ( FPDI-2013-18193 ).
Publisher: Elsevier
Citation: Y. Xu, L. Chen, R.M. Rodríguez, F. Herrera, H. Wang, Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making. Knowledge-Based Systems, vol. 99, pp. 71-78, 2016. 10.1016/j.knosys.2016.01.047
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