CAJ | 학술논문

针对传统广义关联度模型在灰数信息背景下的拓展问题展开研究,构建了一类基于区间灰数信息的广义关联度模型.考虑现实背景下众多实际问题的元素值信息难以准确获取,采用区间灰数表征不确定信息,并将灰元信息划分成白部和灰部.在此基础上给出了基于灰数信息的广义关联度模型的求解算法.最后采用商用飞机成本指标选择问题进行实证分析说明模型的有效性.结果表明,该模型能够很好地对指标进行排序,对拓展灰色关联模型有一定的借鉴意义.
침대전통엄의관련도모형재회수신식배경하적탁전문제전개연구,구건료일류기우구간회수신식적엄의관련도모형.고필현실배경하음다실제문제적원소치신식난이준학획취,채용구간회수표정불학정신식,병장회원신식화분성백부화회부.재차기출상급출료기우회수신식적엄의관련도모형적구해산법.최후채용상용비궤성본지표선택문제진행실증분석설명모형적유효성.결과표명,해모형능구흔호지대지표진행배서,대탁전회색관련모형유일정적차감의의.
To extend the traditional generalized grey incidence model,a novel grey incidence model based on interval grey numbers is constructed.Considering the numerical information of indexes cannot be accurately obtained and can be defined as interval grey numbers,the interval grey numbers are defined as standard interval grey numbers which are split in white part and grey part.The absolute degree of incidence and relative degree of incidence based on the interval grey numbers are constructed and their arithmetic are given.Finally,an example about commercial aircraft index selection illuminates the effectiveness of the model.The results show that the model can sort indexes better and can extend the grey incidence models significantly.