The basic information of property perceived service quality (PPSQ) evaluation for public buildings is characterized by multisource heterogeneity, which cannot be achieved using the existing evaluation methods. Based on the classical linear programming technique for multidimensional analysis of preference (LINMAP), a multiobjective LINMAP model is constructed, and a new PPSQ evaluation method is proposed to solve the above problem. Constructing the multiobjective LINMAP model is the core of the new PPSQ evaluation method design. The proposed multiobjective LINMAP model includes the following: First, multisource heterogeneous evaluation information is collected by the generalized multi-index multi-scale (MIMS) method, and normalized by the TOPSIS method. Then, the LINMAP model is extended by the objective function, which is constructed with the minimum mean standard deviation (MMSD) between multiple information sources. Finally, the source weight and index weight are determined by the above model, the ranking order of each property service project is calculated, and the comprehensive value of the property service project is obtained. The example study verifies the feasibility and effectiveness of the multiobjective LINMAP model which is suitable for the new requirement of comprehensively and objectively evaluating PPSQ for public buildings.