Approach to group decision-making with different forms of preference information based on ordered weighted grouping operators

The group decision-making based on different form of preference information is a new topic in decision analysis and group decision support systems. It is significant to improve the practical effect and flexibility of group decision support systems. This paper proposes an approach to group decision-making problems with four forms of preference information, such as preference ordering, utility value, fuzzy reciprocal judgement matrix and multiplicative judgement matrix. In the approach, firstly, the computational formulas are given to uniform the four different forms of preference information into the form of multiplicative judgement matrix. Then, based on OWG operators, the preference information provided by every decision maker is aggregated into group preference and a method is also given to select the most desirable alternative(s). Finally, a numerical example is used to illustrate the use of the proposed approach.