We have investigated the problems about multiple criteria decision-making.Using the grey system theory

technique for order preference by similarity to ideal solution

and the vector projection synthetically

a new algorithm of multiple criteria decision-making based on similarity to ideal grey relational projection was put forward.The principle of the algorithm and some basic concepts were introduced.The decision-making model in which the adjacency degree both between the plan and the positive ideal plan and between the plan and the negative ideal plan is taken into account synchronously was set up.And the general steps of decision-making using the algorithm were summarized.Then the method for decision-making sensitivity analysis which bases on the distinguishing degree of the plans was presented.At last

the feasibility and effectiveness of the proposed decision-making algorithm and the sensitivity analysis method were proved by an example.The algorithm which has the high sensitivity level offers a new thought way and more reliable basis for multiple criteria decision-making.