Abstract
On account of uncertainty and complexity of environments, it is more suitable to express their assessed value by means of hesitant fuzzy information for decision makers. In this paper, we establish a new group decision-making (GDM) model with incomplete hesitant fuzzy preference relations (HFPRs) based on mathematical programming approach. Firstly, based on the multiplicative consistency of incomplete HFPR, a mathematical programming model is established to obtain multiplicative consistent fuzzy preference relation (FPR) from a given incomplete HFPR. Following this, experts are assigned with weights according to their consistency degree. Subsequently, a group consensus reaching process algorithm is constructed based on the obtained multiplicative consistent FPRs. Correspondingly, a GDM model is further established. Finally, a medical decision application is studied to present the practicability and effectiveness of the proposed method.
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