Analysis of effect of different membership function on calculation of fuzzy reliability in underground continuous wall

SUN Jie; ZHANG Xiao; MU Zai-gen

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Analysis of effect of different membership function on calculation of fuzzy reliability in underground continuous wall

更新时间：2026-06-25

- Analysis of effect of different membership function on calculation of fuzzy reliability in underground continuous wall
- Vol. 29, Issue 3, (2008)
- 作者机构：
  
  北京科技大学土木与环境工程学院,北京,100083
- 作者简介：
- 基金信息：
- DOI：
  CLC： O159
- Online First：19 July 2013，
  
  Published：2008
- 稿件说明：
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SUN Jie, ZHANG Xiao, MU Zai-gen. Analysis of effect of different membership function on calculation of fuzzy reliability in underground continuous wall[J]. 2008, 29(3).
DOI：

SUN Jie, ZHANG Xiao, MU Zai-gen. Analysis of effect of different membership function on calculation of fuzzy reliability in underground continuous wall[J]. 2008, 29(3). DOI：

摘要

虽然有学者已经将模糊可靠度的概念引入到了岩土工程结构可靠性分析中，但是仍然存在一些有待解决的问题，其中可靠度计算时隶属函数依据什么样的标准进行选取尤为重要，因为隶属函数的选取作为一个先决条件，其对可靠度计算结果有着直接的影响，隶属函数选取不同，计算结果有可能存在明显的差异。针对这种现状进行了研究，分别选取了3种具有代表性的隶属函数：降半梯形分布、二次抛物线分布以及岭形分布，从理论上推导出三者对模糊可靠度的计算结果的影响差异，通过比较分析得出计算地下连续墙模糊可靠度时隶属函数选取的一般原则。通过一个工程实例进行了验证计算，计算结果与理论分析结果相吻合。

Abstract

At present

although some academicians import the concept of fuzzy reliability into reliability analysis of geomechanical engineering

there still are some questions to be solved; in which the how to calculate the membership function is very important; since it is a precondition to calculate the fuzzy reliability. The different choosing of membership function will conduce to different results

even the difference is greatly obvious. Aiming at this actuality

the authors studied the influence of choosing different membership function on the fuzzy probability calculative results. We choose three representative membership functions: descending semi-trapezia distribution

quadratic parabola distribution and ridge distribution. The difference of fuzzy probability calculating caused by these three different distributions is analyzed theoretically; and then some general criterion about how to choose the membership function for calculating the fuzzy probability of underground continuous wall is concluded. Finally

an engineering example is given to verify the analysis and calculative results are consistent with the theoretical analysis.

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