Method of determining attributes weights based on subjective preference in multi-attribute group decision-making

Based on subjective preference of experts and decision-maker, a method of determining attribute weights in multi-attribute group decision-making is presented. This method considers the subjective preference of experts on the attribute weights and of decision-makers on the importance awareness of the decision-making importance, and also can be compatible with main date types such as real number, interval number and language number. The standard attribute importance matrix is established to compare each two experts and quantified their differences. After using a universal decision-maker preference mapping to adjust this matrix, all local priority vectors of matrix are figured out to quantify the alternatives' priority, and then are aggregated with expert weights to an attribute weights vector. The concrete steps of determining attribute weights are specialized. Finally, numeral example shows the feasibility of the developed method.