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《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (8): 145-153.doi: 10.6040/j.issn.1671-9352.0.2024.327

• • 上一篇    

基于复杂关联信息融合的水利工程多属性决策

孙开畅1,2,张明洋1   

  1. 1.三峡大学水利与环境学院, 湖北 宜昌 443002;2.三峡大学水电工程施工与管理湖北省重点实验室, 湖北 宜昌 443002
  • 发布日期:2026-08-12
  • 作者简介:孙开畅(1970— ),女,教授,硕士,研究方向为水电工程结构风险、水力风险以及施工作业安全风险. E-mail: sunkaichang@ctgu.edu.cn
  • 基金资助:
    国家重点研发计划项目(2017YFC0805100)

Multi attribute decision-making of hydraulic engineering based on complex nonlinear correlation information fusion

SUN Kaichang1,2, ZHANG Mingyang1   

  1. 1. School of Hydraulic &
    Environmental Engineering, China Three Gorges University, Yichang 443002, Hubei, China;
    2. Hubei Key Laboratory of Construction and Management in Hydropower Engineering, China Three Gorges University, Yichang 443002, Hubei, China
  • Published:2026-08-12

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摘要： 为解决属性间复杂的非线性关联关系对水利工程多属性决策结果的影响,提出基于q-阶正交模糊Zhenyuan积分(q-rung orthopair fuzzy zhenyuan integral, q-ROFZI)算子的关联多属性决策方法。首先,考虑到评价信息的模糊性和不确定性,利用q-阶正交模糊数表征专家评价信息,并引入2-可加模糊测度充分识别和测度决策属性间复杂的关联关系,确定属性集的交互度和模糊测度值;然后,将Zhenyuan积分拓展到q-阶正交模糊集理论中提出q-ROFZI算子,并对属性间的关联测度信息进行全面集结,依据综合效用值的得分函数对决策方案排序;最后,利用q-阶正交模糊Choquet积分算子在实际事故案例中进行对比分析,通过对排序中理想方案分析及对最贴合实际的方案分析。研究结果表明,所提出的决策方法增强对属性间复杂非线性关系的精准刻画能力,关联测度信息融合更为全面,得到的决策结果与实际情况更契合。

关键词: 水利工程, 多属性决策, 属性关联, 2-可加模糊测度, q-ROFZI算子

Abstract: This paper develops a new multi-attribute decision-making method for hydraulic engineering based on the q-order orthogonal fuzzy zhenyuan integral(q-ROFZI)operator to tackle the complex nonlinear correlation between attributes. Frist, considering the vagueness and uncertainty of the evaluation information, the expert evaluation information was characterized using q-order orthogonal fuzzy numbers. Then, introducing the 2-additive fuzzy measures to fully identify and measure the complex association relationship among the decision attributes, determine the interaction degree and fuzzy measure value of the attribute sets. Then, the q-ROFZI operator is proposed by extending the Zhenyuan integral to q-order orthogonal fuzzy set theory. The correlation measurement information between attributes is comprehensively assembled, and the decision-making scheme is ranked according to the score function of the comprehensive utility value to determine the optimal scheme. Finally, the q-order orthogonal fuzzy Choquet integral operator was utilized for comparative analysis in real accident cases, through the analysis of the ideal scheme in the ranking and the analysis of the most relevant scheme.The results demonstrate that the propsed method can enhances the ability to accurately portray complex nonlinear relationships among attributes and can fully the fusion association measure information. The decision results are more consistent with the actual decision-making situation.

Key words: hydraulic engineering, multi-attribute decision-making, attribute association, 2-order additive fuzzy measures, q-ROFZI operator

中图分类号: 

  • O225
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