Abstract
The multi-attribute decision making (MADM) problem is studied, in which the information about attribute weights is unknown and the decision maker (DM) has avail preference information on alternatives. Firstly, a quadratic programming model based on the minimum deviation between the objective decision-making information and the subjective preference information on alternatives is established. Secondly, the existence of solution to the model is proved and the calculated formula of the attribute weights are given, thus the overall values of the alternatives are gained by using the additive weighting method. Based on these values, the selecting the best on alternatives is processed. Finally, a practical example is illustrated to show the feasibility and availability of the developed method.
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