运筹与管理
運籌與管理
운주여관리
Operations Research and Management Science
2015年
5期
197-205
,共9页
刘红旗%方志耕%李维东%陶良彦
劉紅旂%方誌耕%李維東%陶良彥
류홍기%방지경%리유동%도량언
多属性决策%灰色关联聚类%灰类敏感度系数%极大熵%指标权重
多屬性決策%灰色關聯聚類%灰類敏感度繫數%極大熵%指標權重
다속성결책%회색관련취류%회류민감도계수%겁대적%지표권중
multiple attribute decision making%grey correlation clustering%grey class sensitivity coefficient%maximum entropy%objective index weight
评价指标权重的确定是多属性决策问题中至关重要的环节。然而,既有研究利用评价指标值之间的差异性进行指标的客观赋权,往往忽略了评价指标对被评价对象全体及所在系统的重要性。本文基于事物自然本质属性差异,运用灰色关联聚类将评价对象划分到预设的类别;借鉴有无对比分析法的思想,定义了反映指标对全体被评价对象类别影响程度的灰类敏感度系数;根据极大熵准则,建立了基于灰类敏感度系数的客观权重极大熵配置模型,以确定多属性决策指标的权重。并通过与文献[21,26]中实际案例的对比分析,说明了本模型的有效性与更贴近现实性,为解决多属性决策指标客观赋权问题提出了一个新思路。
評價指標權重的確定是多屬性決策問題中至關重要的環節。然而,既有研究利用評價指標值之間的差異性進行指標的客觀賦權,往往忽略瞭評價指標對被評價對象全體及所在繫統的重要性。本文基于事物自然本質屬性差異,運用灰色關聯聚類將評價對象劃分到預設的類彆;藉鑒有無對比分析法的思想,定義瞭反映指標對全體被評價對象類彆影響程度的灰類敏感度繫數;根據極大熵準則,建立瞭基于灰類敏感度繫數的客觀權重極大熵配置模型,以確定多屬性決策指標的權重。併通過與文獻[21,26]中實際案例的對比分析,說明瞭本模型的有效性與更貼近現實性,為解決多屬性決策指標客觀賦權問題提齣瞭一箇新思路。
평개지표권중적학정시다속성결책문제중지관중요적배절。연이,기유연구이용평개지표치지간적차이성진행지표적객관부권,왕왕홀략료평개지표대피평개대상전체급소재계통적중요성。본문기우사물자연본질속성차이,운용회색관련취류장평개대상화분도예설적유별;차감유무대비분석법적사상,정의료반영지표대전체피평개대상유별영향정도적회류민감도계수;근거겁대적준칙,건립료기우회류민감도계수적객관권중겁대적배치모형,이학정다속성결책지표적권중。병통과여문헌[21,26]중실제안례적대비분석,설명료본모형적유효성여경첩근현실성,위해결다속성결책지표객관부권문제제출료일개신사로。
To determine the weight values of assessment indexes is the crucial link in multiple attribute decision making problems.However, today’ s researches have used the evaluation index difference, which tends to ignore the evaluation index of the importance for the evaluation object and the system.Based on the natural essence at-tribute differences, this article uses the grey correlation clustering to classify the evaluation object into the default category, and by the analysis method of being with or without contrast, defines the grey class sensitivity coeffi-cient which influences the impact of the indexes for the evaluation of all the object classes; and based on the maximum entropy criterion,sets up the objective weight maximum entropy configuration model based on the grey class sensitivity coefficient to determine the weight of multiple attribute decision making.Through the contrast analysis of actual cases in ref.[21,26], it shows the effectiveness and closeness to the reality of this model, which has put forward a new thought for solving multiple attribute decision making problem.