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基于博弈论组合赋权的流域水资源承载力集对分析
引用本文:陈南祥,杨淇翔.基于博弈论组合赋权的流域水资源承载力集对分析[J].灌溉排水学报,2013,32(2).
作者姓名:陈南祥  杨淇翔
作者单位:华北水利水电学院资源与环境学院,郑州,450011
基金项目:华北水利水电学院研究生教育创新计划基金项目
摘    要:针对受多种不确定性因素影响的流域水资源承载力评价问题,提出评价指标与标准等级之间的四元联系度模型。采用梯形模糊数定量表示差异度不确定性系数连续变化过程,建立了集对分析与梯形模糊数耦合的水资源承载力评价模型。用层次分析法确定各评价指标主观权重后,从属性效用值出发由熵权理论赋予客观权重,同时,由博弈论集结模型优化组合主客观权重,通过计算以置信区间形式表示的加权联系数,确定水资源承载力的等级标准。耦合模型相对极大熵原理法及模糊综合评判法灵敏度高,更能真实地反映出流域水资源系统本身承载力大小以及偏离分级标准的程度。实例研究结果表明,该模型方法思路清晰,过程直观,评价结果实效合理,具有较好的推广应用前景。

关 键 词:集对分析  梯形模糊数  差异度系数  博弈论  水资源承载力

Set Pair Analysis of Watershed Water Resources Carrying Capacity Based on Game Theory Combination Weighting
Abstract:Based on the evaluation fact of watershed water resources carrying capacity affected by many uncertainty factors,a four-element connection number model of evaluation index and grade criterions was proposed,of which Trapezoidal Fuzzy Numbers indicated continuous variation of discrepancy degree uncertainty coefficients.A coupling model of Set Pair Analysis and Trapezoidal Fuzzy Numbers was established in assessment of water resources carrying capacity.Subjective weights of evaluation indexes were determined by the Analytic Hierarchy Process method,and objective weights were given as well according to the utility value of index attribute based on the Entropy Theory.The two categories of weights were further optimized by Game Theory Aggregation model.The weighing connection number was calculated in the forms of confidence interval to specify the level of water resources carrying capacity.Compared with maximum entropy theory,fuzzy comprehensive evaluation method,with high sensitivity,the coupling model could reflect the degree of carrying capacity in water resources system veritably and the deviation degree of grading standard.The examples in application showed the coupling model effective and reasonable and a wide generalization in other fields.
Keywords:set pair analysis  trapezoidal fuzzy numbers  difference coefficient  game theory  water resources carrying capacity
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