水资源集对分析方法理论与应用研究进展  

Research progress on the theory and application of water resources set pair analysis methods

作　　者：金菊良[1] 周亮广 崔毅[1] 吴成国[1] 周戎星[3] 张礼兵 JIN Juliang;ZHOU Liangguang;CUI Yi;WU Chengguo;ZHOU Rongxing;ZHANG Libing(School of Civil Engineering,Hefei University of Technology,Hefei 230009,China;School of Geographic Information and Tourism,Chuzhou University,Chuzhou 239000,China;School of Environment and Energy Engineering,Anhui Jianzhu University,Hefei 230601,China)

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009 [2]滁州学院地理信息与旅游学院,安徽滁州239000 [3]安徽建筑大学环境与能源工程学院,安徽合肥230601

出　　处：《水利学报》2025年第1期20-31,共12页Journal of Hydraulic Engineering

基　　金：国家自然科学基金项目(U2240223,52109009);安徽省自然科学基金项目(2208085US03,2308085US06)。

摘　　要：集对分析方法应用同、异、反一分为三辨证思维,处理水资源复杂系统不确定性问题具有独特优势,已成为定量计算与物理解析水资源不确定性问题的重要前沿和研究热点。针对有些集对分析方法的物理解析不清晰、计算公式不统一等问题,结合文献计量分析,系统总结了近25年来水资源集对分析方法理论和应用研究进展。结果表明:(1)水资源集对分析方法历经移植、耦合、创新三个发展阶段,移植期发展较为缓慢,耦合、创新期中偏联系数、减法集对势等新的伴随函数方法推动水资源集对分析方法不断快速发展。(2)水利、资源和环境科学是目前集对分析方法研究的主要领域,水资源问题综合评价为主要研究热点。(3)伴随函数中减法集对势快速发展为相对独立的重要方向,并与偏联系数、半偏联系数等方法耦合出一系列水资源集对分析新方法,而高阶偏联系数计算、联系熵物理内涵等系列问题仍未形成共识,邻联系数的研究还较少。(4)目前水资源集对评价是热点研究领域,集对预测仍以单要素预测为主,集对决策仍属系统评价范畴,定量化决策和推理模型研究不足。由此,对集对推理等水资源集对分析方法发展趋势进行展望,以期为水资源复杂系统不确定性分析、结构水资源学等发展提供辩证思维和理论方法。The application of the same,different,and opposite dialectical thinking in the set pair analysis method has unique advantages in dealing with the uncertainty problems of complex water resource systems,which has become an important frontier and research hotspot in the study of quantitative calculation and physical analysis of water resource uncertainty.In response to the problems of unclear physical analysis and inconsistent calculation formulas in some set pair analysis methods,combined with bibliometric analysis,this paper systematically summarizes the theoretical and applied research progress of water resources set pair analysis methods in the past 25 years.The results show that:(1)the set pair analysis of water resources has undergone three development stages of transplantation,coupling,innovation.The development during the transplantation period was relatively slow,while new adjoint function methods such as coupling coefficient and subtraction set pair potential in the coupling and innovation period promoted the continuous and rapid development of water resources set pair analysis methods.(2)The fields of water conservancy science,resource science,and environmental science are the subject areas of the current water resources set pair analysis method.The comprehensive evaluation of water resources issues is the main research hotspot.(3)The subtractive set pair potential proposed based on the water resources system evaluation has rapidly developed into a relatively independent important direction,and a series of new subtractive set pair potential methods combined with partial connection number,semi-partial connection number and other methods for analyzing complex water resources systems have emerged.However,there is still no consensus on the series of issues such as the calculation of higher-order partial connection numbers and the physical connotation of connection entropy,and the study of neighborhood connection numbers is still relatively scarce.(4)At present,set pair evaluation of water resources is the hot

关 键 词：水资源集对分析方法 集对系统 同异反关系 一分为三 辩证关系 集对势 偏联系数 半偏联系数 

分 类 号：TV213[水利工程—水文学及水资源]