Researches on two-sided matching of supply and demand in IT software outsourcing in a regret theory perspective. Firstly, the matching satisfaction degree index system of demander and vendor is proposed. Due to the uncertainty of market environment and complexity of objective things,real numbers,intervals,0-1 judgement variables,triangular fuzzy numbers and linguistic variables are used to represent the evaluation information.Based on the different types of information standardization processing and regret theory,the DM"s perceived utility value matrixes is obtained.Further,the multi-objective optimization model which maximizes the comprehensively perceived values of demander and vendor is established.Then,the bi-objective optimization model is converted into a single-objective model by using the linear weighted method. Finally,a numerical examples of ABM Company is given to illustrate the feasibility and effectiveness of the proposed method.