Abstract: To improve the perceived fitness of bilateral subjects towards task allocation and enhance the rescue efficiency and quality, a bilateral matching model was built to maximize bilateral subjects' perception. Firstly, the selection process between the rescue workers and victims was described as an one-to-many bilateral matching problem and bilateral matching scheme evaluation indexes were formulated. Next, matching relationships were quantized and an one-to-many bilateral matching problem was transformed into a one-to-one bilateral matching problem. Thirdly, based on the prospect theory, the psychosensory responses of bilateral subjects under different evaluation indexes were characterized, thus a perceived fitness and acceptance function was constructed for the bilateral subjects. And then, a bilateral matching decision model maximizing overall perception of the bilateral subjects was built. Finally, an example was presented and solved to demonstrate the effectiveness of both the model and the method. The results show that the model and the method can be used to allocate tasks, meet the bilateral demands very efficiently.

Key words: emergency assistance, assignment of tasks, bilateral matching, perception satisfaction, prospect theory(PT)