Approach to group decision-making based on linear extensions

A new aggregating method was presented for ranking alternatives based on partial order preference of groups about each criterion,and decision maker without determining weights.The ranking probability between alternatives for each criterion is worked out by using the linear extensions of the partial order,and then the preference degree between alternatives is obtained through defining the preference relation.Based on OWA operators,the preference information provided by every decision maker is aggregated into group preference and the group preference with partial order characteristic,the participants′ preference is reflected by the result at most.Finally,a numerical example is used to show the feasibility and effectiveness of the proposed method..