Large-span steel trusses have been widely used in spatial structures. With the development of technology, more new construction techniques in this field have emerged. The determination of construction methods will be important to limit the cost of structural construction, and will be influential on the construction progress and quality of the structure. So how to make a good choice of construction methods has been paid more attention in this field. On the basis of System Engineering Theory and detailed analysis of economic and technique index of large-span steel truss structures, and using analytical hierarchy process method, the current paper establishes the Engineering index system of construction methods for the same type buildings. In addition, according to the extension-mathematics principles, multi-layer Complex Extension-mathematics Judgment Model is built and the weight coefficient of each index is calculated using the analytical hierarchy process method. By the Expert Investigation Method, each index judgment matrix is built, and the multi-layered extension combination judgment is carried out. At last, the final objective of optimization in selecting the construction scheme of large-span steel truss is obtained. The analysis of real construction project shows that this model has high efficiency and practicability in choosing the construction method of large-span steel truss buildings. The index of this model is easy to be dealt with, and the result of the model analysis has good agreement with the real engineering. This study provides the effective tools for the construction optimization of large-span steel trusses and will improve construction quality, speed up construction progress, and minimize of the project expenditure, and so on.
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