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0.618减法邻联系数及其应用OA

0.618 Subtraction Neighbor Connection Number and Its Application

中文摘要英文摘要

为克服减法全邻联系数中各联系度相减易导致趋势不稳定而引发数值偏误的问题,结合 0.618 黄金分割法优化的思想,根据三元联系数的宏观演化趋势为正(a>c)或负(a<c)选择相应的邻联系数.通过缩小减法区间以降低误差;参考驱动系数思想,构建 0.618 减法全邻联系数,并在拉格朗日条件极值的基础上利用梯度上升法和拟牛顿法,探讨了 0.618 减法全邻联系数的取值范围并分析其发展态势.将该方法应用于长江经济带 2009-2018 年水资源承载力评价,结果表明该方法与减法邻联系数的态势基本相同,波动状态更稳定,与评价样本等级值的负关联更密切.

The subtraction of various degrees of connection in the subtractive full neighbor connection number easily led to unstable trends and consequently induced numerical biases:To overcome this limita-tion,the concept of 0.618 golden section optimization was integrated.Based on the macroevolutionary trend of ternary connection number being positive(a>c)or negative(a<c),corresponding neighborh connection numbers were selected,and the subtraction interval was narrowed to reduce errors.Inspired by the driving coefficient,the 0.618 subtractive full neighbor connection number was constructed.Fur-thermore,leveraging the gradient ascent method and quasi-Newton method with the Lagrange conditional extremum,the value range of the 0.618 subtractive FCN was explored,and its development trend was analyzed.This approach was then applied to evaluate the water resources carrying capacity of the Yangtze River Economic Belt from 2009 to 2018.The results indicated that this method shared a similar trend with the subtractive FCN but exhibited a more stable fluctuation state and a closer negative correlation with the grade values of evaluation samples.This not only validated the effectiveness of the proposed method but also provided a novel approach for multi-attribute evaluations.

李丽红;鱼绍轩;白斌;杨亚锋

华北理工大学 理学院 河北 唐山 063210华北理工大学 理学院 河北 唐山 063210华北理工大学 理学院 河北 唐山 063210华北理工大学 理学院 河北 唐山 063210

数理科学

集对分析联系数减法邻联系数0.618优选0.618减法邻联系数

set pair analysisconnection numbersubtractive neighbor connection number0.618 optimization0.618 subtractive neighbor connection number

《郑州大学学报(理学版)》 2026 (4)

78-85,8

国家自然科学基金项目(52279005)河北省省属高校基本科研业务费研究项目(JQN2023030)

10.13705/j.issn.1671-6841.2024160

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