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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2017020152
pages 271-284

GROUP DECISION MAKING WITH MULTIPLICATIVE TRIANGULAR HESITANT FUZZY PREFERENCE RELATIONS AND COOPERATIVE GAMES METHOD

Yan Yang
School of Business, Central South University, Changsha 410083, China
Junhua Hu
School of Business, Central South University, Changsha 410083, China
Qingxian An
School of Business, Central South University, Changsha 410083, China
Xiaohong Chen
School of Business, Central South University, Changsha 410083, China; School of Accounting, Hunan University of Commerce, Changsha 410205, China

ABSTRACT

In realistic group decision-making (GDM), the preferences of people are always uncertain and diverse. Given the various preferences, reaching a consensus about an ideal alternative becomes difficult even when people are cooperative. This study proposes a scientific evaluation and prioritization approach to solve GDM problems by combining multiplicative triangular hesitant fuzzy preference relations (MTHFPRs) and cooperative games method. The concept of MTHFPRs is initially defined, and the corresponding consistency measurements are introduced. Then, the aggregation method for MTHFPRs is proposed according to the cooperative games method. Furthermore, a GDM model using MTHFPRs (GDM-CMTHFPRs) is constructed to help a group of people assess and prioritize alternatives. Finally, the validity and feasibility of the proposed GDM-CMTHFPRs method are verified by an illustration along with some discussions.