CAJ | 학술논문

研究区间灰数信息的多属性群决策中决策者和属性的权重问题.为解决决策者给出的属性值蕴含的客观权重和主观权重冲突的问题,利用各方案与理想方案间的灰色关联度和极大熵原理建立规划模型求出属性的客观权重,并结合主观权重求得属性的综合权重;基于群体意见的一致性要求和信息分布的特点,依据极大熵思想及各决策者关于方案的综合指标值与群体综合指标均值间的灰色关联度建立模型求出各决策者的权重.在此基础上提出了区间灰数信息的群集结方法.算例验证了此方法较于其他方法更加合理.
연구구간회수신식적다속성군결책중결책자화속성적권중문제.위해결결책자급출적속성치온함적객관권중화주관권중충돌적문제,이용각방안여이상방안간적회색관련도화겁대적원리건립규화모형구출속성적객관권중,병결합주관권중구득속성적종합권중;기우군체의견적일치성요구화신식분포적특점,의거겁대적사상급각결책자관우방안적종합지표치여군체종합지표균치간적회색관련도건립모형구출각결책자적권중.재차기출상제출료구간회수신식적군집결방법.산례험증료차방법교우기타방법경가합리.
The problem of seeking weights of decision-makers and attributes is studied in multi-attribute group decision making with interval grey numbers.For avoiding conflict between subjective weights and objective ones computed from attributes’ values given by decision makers,the comprehensive weights are calculated by combining subjective weights and objective ones,where objective weights of attributes are obtained by using the maximum entropy model under the constrains of grey relation degree between the optimal project and every one.While,based on the degree of group consensus and information distribution,the weights of decision-makers are obtained by the maximum entropy thought and grey relation degree between every decision maker’s comprehensive evaluations and average group evaluations.Finally,an aggregation approach of group decision making with interval grey numbers is presented.The numerical example is proved to verify the proposed method is more reasonable than other methods.