Weights determination based on new preference relations

Weighted criteria is one of the important procedures in decision making. Each of the criteria has their own weights in predetermine the selection. It is normal practice in decision making to weight the criteria based solely on positive evaluation to represent degree of importance. However weights of criteria is possible to determine by considering two-sides evaluation. This paper proposes a method to estimate criteria weights under conflicting bifuzzy preference relations. The new preference offers an opportunity for decision maker to give judgment for both positive and negative evaluations simultaneously. The preference relations matrix is solved using the conflicting bifuzzy arithmetic averaging operator and score function. The aggregation is utilized by normalization prior weights determination. A numerical example is given to illustrate the proposed method. The ranking of the criteria is represented by the weights. It seems that an application of a score function in conflicting preference is a feasible tool in weights determination.