Abstract:Based on rhombus thought and extension theory that matter element is of extension nature,research objects and judging indexes as well as the index characteristic values are considered as matter element.Matterelement model is established in accordance with the relationships between matterelements,health diagnosis indexes system and the criterion for evaluating indexes are also determined.Fusion index weight method based on Shannon entropy and multiplication scale method is proposed.Then taking the Shanghai Yangze River Tunnel,which is a longdistance shield tunnel with the largest diameter in the world at present,as an object,in light of the principle of unsymmetrical nearness degree,the evaluation of the tunnel health conditions carries out according to theories mentioned above and the processes of the health diagnosing method based on extension theory are presented.According to the results,it is demonstrated that the health diagnosing method based on extension theory can be adopted to evaluate health state of tunnel structure,and the evaluating results is reasonable and reliable.As a new health diagnosing method,it will provide scientific theory foundation and valuable technology instruction for durable health state and timely maintenance of tunnel.