基于不确定型层次分析法的桥梁模糊综合评估

Fuzzy Comprehensive Assessment in Bridge State Based on the Uncertain Analytic Hierarchy Process

桥梁状态评估多采用确定型的层次分析法,但无法反映评估指标的不确定性和模糊性,因此引入不确定型层次分析法进行既有桥梁结构的模糊综合评估研究。采用不确定型权重判断矩阵,通过优化算法求解区间权重的最优值;利用等级隶属度函数对底层评语指标进行模糊化处理,最后采用最大隶属度邻近判别法确定桥梁的评估等级。

The analytic hierarchy process approach is usually applied to the bridge state assessment, but it can't reflect the uncertainty and fuzziness of the index. In this paper, an uncertain analytic hierarchy process was applied to the multistage synthesis fuzzy assessment of bridge structures. Adopting the uncertain weight judgment matrix, the optimized weight values were obtained through the optimum algorithm. Then the comment scores were fuzzed through the grade membership function of the fuzzy theory. When the fuzzy results were carried out, the grade of bridge state was determined by the maximal subjection grade and its near degree. In the end, an instance was given to prove the feasibility of using the uncertain analytic hierarchy process in the bridge state assessment.