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基于可拓关联度比的三支决策模型及应用

Three-way Decision Model Based on Extension Correlation Ratio and Its Application
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摘要 三个域的构造和解释一直是三支决策研究重点之一,将可拓评价的基本方法与“三分而治”的决策思想进行融合,构建基于可拓关联度比的三支决策模型。分析关联函数的构造原理及数值特征,定义更具决策指导意义的可拓关联度比,论述其作为三支决策中评价函数的可能性与合理性;将归一化的关联度比作为评价函数,对每个等级的指标进行三个域划分,构造三支决策规则,实现动态决策与挖掘优化指标的目的。将模型应用于决策哈尔滨市水资源承载力,结果表明,哈尔滨市的水资源承载力处于Ⅱ级水平,城镇化率、人口自然增长率、Remanenko潜在蒸发量、干燥度、人均生活用水量、GDP总量、人均GDP、GDP增长率、森林覆盖率这些指标亟待优化,以实现水资源系统的可持续发展。 The construction and interpretation of the three domains had always been the research focuses of the three-way decision.The basic method of extension evaluation was integrated with the decision-making thought of“three parts and rule”,and the three decision-making model based on the extension correlation ratio were constructed.The construction principle and numerical characteristics of the correlation function were analyzed;the extension correlation ratio with more decision-making guiding significance was defined;and its possibility and rationality as an evaluation function in three decision-making were discussed.The normalized correlation ratio was taken as an evaluation function;and the indexes of each grade were divided into three domains;and three decision rules were constructed;the purpose of dynamic decision and mining optimized indexes were achieved.The model was applied to the decision-making process of water resources carrying capacity in Harbin.The results showed that Harbin′s water resources carrying capacity was in Grade II.The indexes of urbanization rate,natural population growth rate,Remanenko potential evaporation,dryness,per capital domestic water consumption,GDP total,per capital GDP,GDP growth rate and forest coverage rate were urgent to optimize to realize the sustainable development of water resources system.
作者 李敏 杨亚锋 雷宇 李丽红 LI Min;YANG Yafeng;LEI Yu;LI Lihong(College of Science, North China University of Science and Technology, Tangshan, Hebei 063210, China;Hebei Key Laboratory of Data Science and Application, Tangshan 063210, China;Tangshan Key Laboratory of Data Science, Tangshan 063210, China;College of Electrical Engineering, North China University of Science and Technology, Tangshan 063210, China)
出处 《郑州大学学报(理学版)》 CAS 北大核心 2021年第2期72-81,共10页 Journal of Zhengzhou University:Natural Science Edition
基金 河北省数据科学与应用重点实验室项目(10120201) 唐山市数据科学重点实验室项目(10120301)。
关键词 可拓集 关联度比 三支决策 可拓评价 水资源承载力 extension set correlation ratio three-way decision extension evaluation water resources carrying capacity
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