Check dam system planning optimization based on mutation model
Zhang Xianqi1, Peng Xiaofei1, Fan Ruiqi2
1.College of Water Resources, North China University of Water Resources and Electric Power, Zhengzhou, Henan 450011, China; 2.Chengdu Engineering Corporation, HydroChina, Chengdu, Sichuan 610072, China
Abstract：The check dam system planning is a typical multi-criteria decision problem of complex system since the factors such as water and sediment control capacity, intercepting sediment capacity, silting land capacity and investment return and so on should be taken into account. The multi-criteria decision making of complex system usually has fuzziness and uncertainty. By making use of the advantage of catastrophe theory in dealing with the fuzzy and gray problems, an indicator system for evaluating check dam system planning was put forward, and a mathematical model was established to optimize the planning based on the mutation classification evaluation method, and then a detailed procedure was described to apply the model. The method has been applied to optimize the planning of check dam system in Liujian River, basin of Yanshi City. Firstly, all the indexes of bottom level were made dimensionless and normalized, and then the importance of each indicator was quantified by aggregation mechanism of the normalized formula; Finally, the optimum planning could be obtained by comparing total value of mutation subjection function of each planning. The total values of mutation subjection function of planning I, II and III are 0.959 2, 0.918 1 and 0.948 4 respectively, thus planning I is optimal. This result is consistent with that derived from the traditional method, suggesting the mutation model is reasonable and feasible for check dam system planning optimization.
张先起, 彭小飞, 范瑞祺. 基于突变分级模型的淤地坝坝系规划方案优选[J]. 排灌机械工程学报, 2013, 31(7): 586-591.
Zhang Xianqi, Peng Xiaofei, Fan Ruiqi. Check dam system planning optimization based on mutation model. Journal of Drainage and Irrigation Machinery Engin, 2013, 31(7): 586-591.
[1]Wu Yuanyuan, Tian Ye, Wang Wendong, et al. Index weight decision based on AHP for information retrieval on mobile device[C]//Proceedings of 2010 2nd International Conference on Information and Multimedia Technology(ICIMT 2010). Singapore:IACSIT Press, 2012,42:65-72.[2]Wang Kelvin C P, Li Qiang. Pavement smoothness prediction based on fuzzy and gray theories[J]. Computer-Aided Civil and Infrastructure Engineering, 2011,26(1):69-76.[3]Suo Bin, Yan Ying, Zeng Chao, et al. An imprecise probability model for structural reliability based on evidence and gray theory[J]. Research Journal of Applied Sciences, Engineering and Technology, 2013,5(2):452-457.[4]Fu Sha, Zhou Hangjun, Song Dan, et al. Study on the performance evaluation of scientific innovation team in universities based on gray fuzzy theory[J]. Information Technology Journal, 2013,12(4): 817-822.[5]Liu Hui, Liu Wending.The study of CIQ inspection rate′s setting problem based on gray-fuzzy comprehensive evaluation theory[J]. Physics Procedia, 2012,24(B):1541-1545.[6]Liu Dunwen, Yu Lei, Li Bo.Fuzzy-entropy theory comprehensive evaluation method and its application in building construction safety[J]. Procedia Engineering, 2012,43:137-142.[7]Zuo Renguang, Cheng Qiuming, Agterberg Frederik P.Application of a hybrid method combining multilevel fuzzy comprehensive evaluation with asymmetric fuzzy relation analysis to mapping prospectivity[J]. Ore Geo-logy Reviews, 2009,35(1):101-108.[8]张端梅,梁秀娟,李钦伟,等. 基于突变理论的吉林西部灌区地下水环境风险评价[J]. 农业机械学报, 2013,44(1):95-100. Zhang Duanmei, Liang Xiujuan, Li Qinwei, et al. Risk assessment of groundwater environment for irrigation district in western Jilin province based on catastrophe theory[J]. Transactions of the Chinese Society for Agricultural Machinery, 2013,44(1):95-100.(in Chinese)[9]何平,赵子都. 突变理论及其应用[M]. 大连:大连理工大学出版社,1989:1-6.[10]刘亚连,周翠英. 突变理论在堤防安全综合评价中的应用[J]. 水利水运工程学报, 2011(1):60-65. Liu Yalian, Zhou Cuiying. Application of catastrophe theory to comprehensive evaluation of safety of levee construction[J]. Hydro-Science and Engineering, 2011(1):60-65.(in Chinese)[11]朱孔来. 新世纪统计与经济热点问题研究[M]. 济南:山东省地图出版社, 2002:181-221.[12]周强,张勇. 基于突变级数法的绿色供应链绩效评价研究[J].中国人口·资源与环境,2008,18(5):108-111. Zhou Qiang, Zhang Yong. Performance evaluation of GSC based on catastrophe progression method[J]. China Population, Resources and Environment, 2008,18(5):108-111.(in Chinese)[13]冯平,李绍飞,李建柱. 基于突变理论的地下水环境风险评价[J]. 自然灾害学报, 2008,17(2):13-18. Feng Ping, Li Shaofei, Li Jianzhu. Catastrophe theory-based risk evaluation of groundwater environment[J]. Journal of Natural Disasters, 2008,17(2):13-18.(in Chinese)[14]史志富,张安,刘海燕,等. 基于突变理论与模糊集的复杂系统多准则决策[J]. 系统工程与电子技术, 2006,28(7):1010-1013. Shi Zhifu, Zhang An, Liu Haiyan, et al. Multi-criteria decision making of complex system using catastrophe theory based on fuzzy set[J]. System Engineering and Electronics, 2006,28(7):1010-1013.(in Chinese)
