In this paper, we investigate the multiple attribute decision making problems to evaluate the key technology for P2P network route security with 2-tuple linguistic information. We extended the TOPSIS model to solve the evaluation problems of key technology for P2P network route security with 2-tuple linguistic information. According to the traditional ideas of TOPSIS, the optimal alternative(s) is determined by calculating the shortest distance from the 2-tuple linguistic positive ideal solution (TLPIS) and on the other side the farthest distance of the 2-tuple linguistic negative ideal solution (TLNIS). It is based on the concept that the optimal alternative should have the shortest distance from the positive ideal solution and on the other side the farthest distance of the negative ideal solution. The method has exact characteristic in linguistic information processing. It avoided information distortion and losing which occur formerly in the linguistic information processing. Finally, a numerical example with the key technology for P2P network route security evaluation is used to illustrate the applicability and effectiveness of the proposed model
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