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Mathematical Problems in Engineering
Volume 2018, Article ID 8710192, 15 pages
Research Article

Fuzzy Comprehensive Evaluation Method of Masonry Structure Safety Based on Grey Clustering Theory

1School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
2Department of Structural Engineering, Gent University, 9052 Gent, Belgium

Correspondence should be addressed to Xiujiao Qiu; eb.tneGU@uiQ.oaijuiX

Received 6 February 2018; Accepted 18 March 2018; Published 29 April 2018

Academic Editor: Roman Wendner

Copyright © 2018 Yongjun Lin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A comprehensive method for quantitatively appraising the safety rating of masonry structure is proposed which is able to reflect the difference in the same safety level. The analytic hierarchy process (AHP), fuzzy theory, and the grey clustering theory were applied based on the fuzzy-grey characteristics and the structural safety factors of the building system. A four-layer safety evaluation model of masonry structure considering its structural features was established by using AHP method and a three-level fuzzy comprehensive evaluation model was elaborated. Then, the weight coefficient vector of each layer was calculated according to the expert experience and existing research results. Based on the grey clustering method and the fuzzy evaluation model, the evaluation matrix of every layer was established. Finally, this method was applied to a practical masonry structure. Not only the result was in agreement with the appraisal result according to Chinese standard method, but also it quantitatively evaluates the safety grade of every factor in every layer.