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With the rapid development of Internet, e-commerce has attracted lots of attentions of corporations and scholars, a corporation must be required to speed the rollout of new products within the shortest time to capture the market shares and meet the demand for consumers under e-commerce. Through using the grey theory, this paper applied different methods, such as grey relational analysis and grey multipurpose decision-making method to solve the issues related the vendor selection under e-commerce, and compared the results from the different two methods. Research results show that complex multiple attribute decision problems, such as vendor selection under e-commerce need integrated techniques in order to obtain the satisfied solutions. The better way to overcome the deficiencies is to apply several solutions to the same multiple attribute decision problems, and compare their results, and then make the final decision based on the calculated results.