A kind of uncertain multiple attribute decision making problems with preference information on alternatives is studied, in which the information about the attribute weights is unknown and the attribute values are interval numbers. Based on the deviation degree between the comprehensive attribute value of alternatives and the preference of decision-maker for alternatives, an optimum model is constructed and a simple formula for obtaining the attribute weights is given, then a new method to get the priorities of alternatives is presented. An example of practical application is given to show the feasibility and effectiveness of the method.
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