考虑属性关联的区间灰熵决策模型  

Interval Grey Entropy Decision Model Considering Attribute Association

作　　者：郑秋红 丁全玉 王应明[1,3] ZHENG Qiuhong;DING Quanyu;WANG Yingming(Decision Sciences Institute,Fuzhou University,Fuzhou 350116,China;School of Management Engineering and Electronic Commerce,Zhejiang Gongshang University,Hangzhou 310018,China;Key Laboratory of Spatial Data Mining&Information Sharing of Ministry of Education,Fuzhou University,Fuzhou 350116,China)

机构地区：[1]福州大学决策科学研究所,福建福州350116 [2]浙江工商大学管理工程与电子商务学院,浙江杭州310018 [3]福州大学空间数据挖掘与信息共享教育部重点实验室,福建福州350116

出　　处：《运筹与管理》2024年第5期42-47,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(61773123)。

摘　　要：决策问题的复杂性和人类思维认知的模糊性,往往导致决策在不确定的环境下进行。利用灰色系统来处理决策中的不确定性已经取得了丰硕的成果。然而,如果仅仅使用精确数来表达偏好可能无法准确地反映专家的意见。因此,在这种情况下,本文引入了区间灰数来模拟专家在多个决策模型上的不确定性。尽管基于区间灰数的决策模型数量众多,但它们中的大多数都没有考虑到人类的有限理性。针对属性值以区间灰数形式给出且属性间具有相互作用关系的多属性决策问题,本文提出了基于几何面积的属性关联区间灰熵多属性决策方法。首先,考虑到分辨系数的主观选择会对关联排序造成不良影响,提出基于序列波动情况的指数型分辨系数。其次,给出面积相离度公式替代传统对应点之间的距离来计算接近度。最后提出了新的体现属性间相关性的调整权重公式,计算均衡接近度并排序。算例分析和对比分析验证了本文所提方法的可行性和合理性。Under the background of the information age,decision-makers often face many problems that are difficult to solve directly in daily life and production activities,and any problem may have multiple attributes to be considered at the same time.Multi-attribute decision-making problems are ubiquitous in real life.Nowadays,research on multi-attribute decision-making has made great progress and plays an important role in many fields such as economy,science and technology,and aviation.Due to the complexity of society and the high uncertainty of the problems faced,in most cases,it is difficult to accurately describe the relevant information with precise numbers.For this reason,how to solve multi-attribute problems under fuzzy or uncertain conditions has gradually attracted attention.Due to the limitations of human cognition,when the obtained decision information is“poor information”or“less samples”,grey numbers are often used to describe it.The interval grey number can represent uncertain numbers and express complex information effectively,which is not contained in precise numbers.Using the interval grey number can not only reflect the behavior of the decision-maker but also match the actual decision-making situation.The complexity of decision-making problems and ambiguity of human thinking and cognition,often drive decision-making under uncertain contexts.Though the use of the grey system for dealing with the uncertainty in decision-making has yielded successful results,they are not enough because the use of just one single number to elicit preferences may not reflect experts’opinions properly.Therefore,in such situations,interval grey numbers have been introduced to model experts’uncertainty on multiple decision-making models.Despite an important number of decision models based on interval grey numbers,most of them do not consider the bounded rationality of human beings,although their need and convenience in many real-world decision problems are useful and in demand.Therefore,this paper aims to present a new

关 键 词：区间灰数 属性关联 灰熵模型 均衡接近度 多属性决策 

分 类 号：C934[经济管理—管理学]