| 基于灰关联熵的多指标灰靶决策方法 |
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| 引用本文： | 王霞,党耀国,谈静艳.基于灰关联熵的多指标灰靶决策方法[J].数学的实践与认识,2014(24). |
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| 作者姓名： | 王霞 党耀国 谈静艳 |
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| 作者单位： | 南京航空航天大学经济与管理学院; |
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| 基金项目： | 国家自然科学基金(71071077,71371098);江苏省普通高校研究生科研创新计划项目(CXZZ13_0183);中央高校基本科研业务费专项资金(NR2013033) |
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| 摘 要： | 针对方案指标值为三参数区间灰数的多指标决策问题,提出一种基于灰关联熵的多指标灰靶决策方法.首先定义了各方案的正靶心及正靶心距;其次,构建所有方案的相对关联度系数,继而形成灰关联系数矩阵,再利用熵理论求解目标权重.应用实例说明了提出的决策方法的合理性和有效性.
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| 关 键 词： | 三参数区间灰数 关联熵 灰靶决策 目标权重 |
Multi-objective Grey Target Decision Method Based on Relative Entropy |
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| Abstract: | With regard to multi-index decision-making problems,in which the index value of alternatives are three-parameter interval grey number,a multi-index grey-target decisionmaking approach based on grey lational entropy is proposed.Firstly,the optimal effect vector is the positive bull's-eye and positive bull's-eye distance of each scheme is defined.Secondly,relative correlation coefficient of scheme all are constructed,then forme grey relational matrix,reuse the entropy theory to calculate multi target weight.An example is also presented to illustrate the usefulness and effectiveness of the methods obtained in this paper. |
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| Keywords: | three-parameter interval grey number relative entropy grey-target decisionmaking arget weigh |
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