基于核与灰度的灰色综合关联贴近度决策模型
发布时间：2018-07-16 09:37
【摘要】：针对指标值为区间灰数且权重属性部分已知、部分未知的决策问题,提出一种基于核与灰度的灰色关联综合贴近度的决策方法.首先,通过定义区间灰数的离散度和接近度,构造一个确定指标权重的多目标优化模型;然后,利用区间灰数的简化形式,求出方案与正、负理想方案核的关联度和灰度的关联度,进而计算出方案的综合关联度;最后,构建灰色综合关联贴近度模型并依综合关联贴近度大小对方案排序.算例分析验证了所提出方法的合理性和可行性.
[Abstract]:In view of the decision problem in which the index value is interval grey number and the weight attribute is partly known and partly unknown, a decision method based on kernel and gray level grey correlation comprehensive closeness degree is proposed. First of all, by defining the dispersion and proximity of interval grey number, a multi-objective optimization model is constructed to determine the index weight, and then, by using the simplified form of interval grey number, the scheme and the positive value are obtained. The correlation degree of negative ideal scheme kernel and the correlation degree of gray scale are calculated, and then the comprehensive correlation degree of the scheme is calculated. Finally, the grey comprehensive correlation close degree model is constructed and the scheme is sorted according to the magnitude of comprehensive correlation closeness degree. An example is given to verify the rationality and feasibility of the proposed method.
【作者单位】： 南京航空航天大学经济与管理学院;铜陵学院财税与公共管理学院;
【基金】：安徽省社科规划项目(AHSKY2016D27) 国家自然科学基金与英国皇家学会国际合作交流项目(71111130211)
【分类号】：N941.5;O225
[Abstract]:In view of the decision problem in which the index value is interval grey number and the weight attribute is partly known and partly unknown, a decision method based on kernel and gray level grey correlation comprehensive closeness degree is proposed. First of all, by defining the dispersion and proximity of interval grey number, a multi-objective optimization model is constructed to determine the index weight, and then, by using the simplified form of interval grey number, the scheme and the positive value are obtained. The correlation degree of negative ideal scheme kernel and the correlation degree of gray scale are calculated, and then the comprehensive correlation degree of the scheme is calculated. Finally, the grey comprehensive correlation close degree model is constructed and the scheme is sorted according to the magnitude of comprehensive correlation closeness degree. An example is given to verify the rationality and feasibility of the proposed method.
【作者单位】： 南京航空航天大学经济与管理学院;铜陵学院财税与公共管理学院;
【基金】：安徽省社科规划项目(AHSKY2016D27) 国家自然科学基金与英国皇家学会国际合作交流项目(71111130211)
【分类号】：N941.5;O225
【参考文献】
相关期刊论文 前10条
1 郭三党;刘思峰;方志耕;;基于核和灰度的区间灰数多属性决策方法[J];控制与决策;2016年06期
2 张志勇;吴声;;基于白化权函数的区间灰数关联度模型[J];中国管理科学;2015年01期
3 杨保华;方志耕;周伟;刘健;;基于信息还原算子的多指标区间灰数关联决策模型[J];控制与决策;2012年02期
4 王砚羽;张卓;王正新;;基于灰色关联系数改进的加权TOPSIS法及其应用[J];华东经济管理;2011年10期
5 王正新;党耀国;裴玲玲;王砚羽;;基于累积前景理论的多指标灰关联决策方法[J];控制与决策;2010年02期
6 钟诗胜;王体春;丁刚;;基于多指标灰区间数关联决策模型的产品方案设计[J];控制与决策;2008年12期
7 穆瑞;张家泰;;基于灰色关联分析的层次综合评价[J];系统工程理论与实践;2008年10期
8 苏博;刘鲁;杨方廷;;基于灰色关联分析的神经网络模型[J];系统工程理论与实践;2008年09期
9 卫贵武;魏宇;;对方案有偏好的区间数多属性灰色关联决策模型[J];中国管理科学;2008年01期
10 孙晓东,焦s，
本文编号：2125976
本文链接：https://www.wllwen.com/kejilunwen/yysx/2125976.html
