基于四元联系数减法集对势的区域水资源承载力评价

Evaluation of Regional Water Resources Carrying Capacity Based on Set Pair Potential of Subtraction of Quaternion Connection Number

为准确描述四元减法集对势的定量表达形式,在现有减法集对势研究的基础上,结合四元联系数特有的关系结构形式,综合考虑同一度、差异度、对立度对集对系统整体发展的影响,构建了四元减法集对势的计算式。为进一步验证四元减法集对势的适用性,将四元减法集对势应用于黄河流域山西段水资源承载力评价中。结果表明:2010年黄河流域山西段水资源承载力状况较差,主要由于太原、临汾、运城、吕梁、晋城、晋中6个区域水资源承载力表现较差,亟须对这6个区域的薄弱指标加强调控;其余以长治为代表的3个区域水资源承载力表现较好。四元减法集对势可清晰、合理地分析出影响区域水资源承载力的薄弱指标及拉动水资源发展的优势指标,对后期解决水资源、环境等领域类似承载力评价问题具有重要意义。

In order to accurately describe the quantitative expression form of the set pair potential of the quaternion subtraction,based on the existing research on the set pair potential of the subtraction,combined with the special relationship structure form of the quaternion connection number,and comprehensively considering the influence of the degree of identity,degree of difference,and degree of opposition on the overall development of the set pair system,the calculation formula of the set pair potential of the quaternion subtraction is constructed.In order to further verify the applicability of the quaternion subtraction set pair potential,the quaternion subtraction set pair potential is applied to the evaluation of water resources carrying capacity in Shanxi section of the Yellow River basin.The results are as follows.In 2010,the water resources carrying capacity of the Shanxi section of the Yellow River basin was poor,mainly due to the poor performance of the water resources carrying capacity of six regions,Taiyuan,Linfen,Yuncheng,Luliang,Jincheng,and Jinzhong.It is urgent to strengthen the regulation of weak indicators in these six regions.The other three regions represented by Changzhi have better water resources carrying capacity.The quaternion subtraction set pair potential can clearly and reasonably analyze the weak indicators in the regional water resources carrying capacity and the dominant indicators that drive the development of water resources,which is of great significance for solving similar carrying capacity evaluation problems in water resources,environment and other fields in the later stage.