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This paper proposes a grey relation-based approach to customer value assessment while customerspsila information is expressed in the form of interval numbers. By calculating the grey relation coefficient between interval attribute values and the ideal one, the decision matrix in the form of interval is transformed into a definite one, based on which the attribute weights are determined in order to maximize the overall values of alternatives (i.e., the customers). Accordingly, the alternatives can be ranked or grouped based on the overall values obtained. An example of evaluating the customers of a power supply company is used to illustrate the proposed approach, which justifies the innovation and simplicity of it.