JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (8): 145-153.doi: 10.6040/j.issn.1671-9352.0.2024.327

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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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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

CLC Number: 

  • O225
[1] 孙开畅,周剑岚. 水利水电工程施工安全风险管理[M]. 北京:中国水利水电出版社, 2013:36. Sun Kaichang, Zhou Jianlan. Construction safety risk management of water conservancy and hydro-power projects[M]. Beijing: China Water & Power Press, 2013:36.
[2] 孙开畅,马文俊,李权. 基于IAHP-直觉模糊集的水利工程应急救援方案决策[J]. 水利水电技术, 2018, 49(6):135-140. Sun Kaichang, Ma Wenjun, Li Quan. Decision-making of IAHP-intuitionistic fuzzy set-based emergency rescue scheme[J]. Water Resources and Hydropower Engineering, 2018, 49(6):135-140.
[3] 马文俊,孙开畅,颜鑫,等. 水利工程应急方案直觉模糊多属性决策研究[J]. 水力发电, 2019, 45(2):79-82. Ma Wenjun, Sun Kaichang, Yan Xin, et al. Study on intuitionistic fuzzy multiple attribute decision making for Emergency Plan of water conservancy projects[J]. Water Power, 2019, 45(2):79-82.
[4] 夏登友,郑策,陈昶霖,等. 不完全信息下的重大事故应急决策方法研究[J]. 安全与环境学报, 2023, 23(5):1498-1504. Xia Dengyou, Zheng Ce, Chen Changlin, et al. Research on emergency decision- making approach for major accidents under incomplete information[J]. Journal of Safety and Environment, 2023, 23(5):1498-1504.
[5] 章玲,周德群. 基于关联的多属性决策分析理论研究综述[J]. 管理评论, 2008, 20(5):51-57, 64. Zhang Ling, Zhou Dequn. Survey of multiple attribute decision making theory in the presence of relationships[J]. Management Review, 2008, 20(5):51-57, 64.
[6] Sugeno M. Theory of fuzzy integral and its application[D]. Tokyo: Tokyo Instituteof Technology, 1974:16.
[7] 常志朋,程龙生,卢诗展,等. 基于2可加模糊测度的公租房退出决策模型[J]. 南京理工大学学报(自然科学版), 2017, 41(1):132-138. Chang Zhipeng, Cheng Longsheng, Lu Shizhan, et al. Exit decision model of public rental housing based on 2-order additive fuzzy measures[J]. Journal of Nanjing University of Science and Technology, 2017, 41(1):132-138.
[8] 李滨,王明敏,祝云,等. 小水电绿色智能化规划改造评价体系构建与应用[J]. 电网技术, 2021, 45(4):1280-1287. Li Bin, Wang Mingmin, Zhu Yun, et al. Construction and application of evaluation system of green intelligent planning and reconstruction of small hydropower[J]. Power System Technology, 2021, 45(4):1280-1287.
[9] Tan C Q, Chen X H. Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making[J]. Expert Systems with Applications, 2010, 37(1):149-157.
[10] Xu Z S. Choquet integrals of weighted intuitionistic fuzzy information[J]. Information Sciences, 2010, 180(5):726-736.
[11] 林玲,陈福集,谢加良,等. 考虑风险偏好的网络舆情预警模型: 基于直觉模糊和Choquet积分[J]. 情报杂志, 2021, 40(10):52-58. Lin Ling, Chen Fuji, Xie Jialiang, et al. Intuitionistic fuzzy Choquet integral network public opinion early warning model considering risk preference[J]. Journal of Intelligence, 2021, 40(10):52-58.
[12] Peng X D, Yang Y. Pythagorean fuzzy choquet integral based MABAC method for multiple attribute group decision making[J]. International Journal of Intelligent Systems, 2016, 31(10):989-1020.
[13] 杜迎雪,常娟,刘卫锋. 三角毕达哥拉斯模糊Choquet积分算子及其应用[J]. 数学的实践与认识, 2020, 50(17):199-210. Du Yingxue, Chang Juan, Liu Weifeng. Triangular Pythagorean fuzzy Choquet intergral operator and applications[J]. Mathematics in Practice and Theory, 2020, 50(17):199-210.
[14] Mu Z M, Zeng S Z. Some novel intuitionistic fuzzy information fusion methods in decision making with interaction among attributes[J]. Soft Computing, 2019, 23(20):10439-10448.
[15] Yager R R. Generalized orthopair fuzzy sets[J]. IEEE Transactions on Fuzzy Systems, 2017, 25(5):1222-1230.
[16] Liu P D, Wang P. Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making[J]. International Journal of Intelligent Systems, 2018, 33(2):263.
[17] Xu Z S. Choquet integrals of weighted intuitionistic fuzzy information[J]. Information Sciences, 2010, 180(5):729.
[18] Grabisch M. K-order additive discrete fuzzy measures and their representation[J]. Fuzzy Sets and Systems, 1997, 92(2):167-189.
[19] 常志朋,程龙生. 灰模糊积分关联度决策模型[J]. 中国管理科学, 2015, 23(11):107. Chang Zhipeng, Cheng Longsheng. Grey fuzzy integral correlation degree decision model[J]. Chinese Journal of Management Science, 2015, 23(11):107.
[20] Wang Z Y, Leung K S, Wong M L, et al. A new type of nonlinear integrals and the computational algorithm[J]. Fuzzy Sets and Systems, 2000, 112(2):223-231.
[21] 王熙照. 模糊测度和模糊积分及在分类技术中的应用[M]. 北京: 科学出版社, 2008:32. Wang Xizhao. Fuzzy measure and fuzzy integral and their applications in classification technology[M]. Beijing: Science Press, 2008:32.
[22] 孙开畅,陈璇,时训先,等. 基于区间直觉模糊信息TODIM法的水利工程应急决策研究[J]. 中国安全生产科学技术, 2019, 15(3):19-24. Sun Kaichang, Chen Xuan, Shi Xunxian, et al. Study on emergency decision-making of hydraulic engineering based on interval intuitionistic fuzzy information TODIM method[J]. Journal of Safety Science and Technology, 2019, 15(3):19-24.
[23] Liang D C, Zhang Y, Cao W. q-Rung orthopair fuzzy Choquet integral aggregation and its application in heterogeneous multicriteria two-sided matching decision making[J]. International Journal of Intelligent Systems, 2019, 34(12):3275-3301.
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