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In this paper, the authors investigate the Multiple Attribute Decision Making (MADM) problems for evaluating the E-commerce system security with uncertain information. Then, based on the traditional Grey Relational Analysis (GRA) method, calculation steps for solving multiple attribute decision-making problems with completely known weight information are given. The degree of grey relation between every alternative and positive ideal solution is calculated. Then, a relative relational degree is defined to determine the ranking order of all alternatives by calculating the degree of grey relation to both the Positive-Ideal Solution (PIS). Finally, an illustrative example is given.
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