LIU Jie, QING Qi-xiang, ZHANG Qing-chun, CHEN Xiao-yue. Solving of the Structural Fuzzy Reliability Analysis Method With Universal Grey Numbers[J]. Applied Mathematics and Mechanics, 2015, 36(3): 285-293. doi: 10.3879/j.issn.1000-0887.2015.03.006
 Citation: LIU Jie, QING Qi-xiang, ZHANG Qing-chun, CHEN Xiao-yue. Solving of the Structural Fuzzy Reliability Analysis Method With Universal Grey Numbers[J]. Applied Mathematics and Mechanics, 2015, 36(3): 285-293.

# Solving of the Structural Fuzzy Reliability Analysis Method With Universal Grey Numbers

##### doi: 10.3879/j.issn.1000-0887.2015.03.006
Funds:  The National Key Technology R & D Program of China(2012BAH09B02)
• Rev Recd Date: 2014-12-21
• Publish Date: 2015-03-15
• To overcome the defects in the existing interval solving of the structural fuzzy reliability analysis method, a new method was proposed. Universal grey numbers were used to describe the basic uncertain parameters related to the probability distributions of the variables, and then these numbers were introduced into analysis of the fuzzy reliability of structures, to give more accurate results. The numerical example shows that the proposed method gets narrower intervals of structural reliability, and achieves more accurate reliability calculation results with less input information. What’s more, in comparison with the traditional fuzzy reliability calculation procedures, the proposed method provides more available and more accurate information about the safety degree of the related structure.
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