CAJ | 학술논문

针对多元灰色绝对关联度存在分析结果与定性判断相矛盾的问题,探讨一种基于点分布特征的灰色绝对关联分析模型.该模型依据多元序列的几何描述,分区域提取邻域极值,构造多元序列的特征点集；然后根据特征点的分布特性获取反映多元序列几何特征的特征点序列;将多元序列的关联分析转化为特征点序列间的相关性分析,从而建立关联度模型.该模型具有平移不变性、转置和行列变换不变性、满足灰色关联分析公理要求.最后,通过两个实例验证了该模型的有效性.
침대다원회색절대관련도존재분석결과여정성판단상모순적문제,탐토일충기우점분포특정적회색절대관련분석모형.해모형의거다원서렬적궤하묘술,분구역제취린역겁치,구조다원서렬적특정점집；연후근거특정점적분포특성획취반영다원서렬궤하특정적특정점서렬;장다원서렬적관련분석전화위특정점서렬간적상관성분석,종이건립관련도모형.해모형구유평이불변성、전치화행렬변환불변성、만족회색관련분석공리요구.최후,통과량개실례험증료해모형적유효성.
The analysis result of absolute degree of grey incidence for multivariate time series is often inconsistent with the qualitative analysis.To overcome this shortage,a multivariate absolute degree of grey incidence based on distribution characteristics of points is proposed.Based on the geometric description of multivariate time series,the neighborhood extrema are extracted in the different regions,and a characteristic point set is constructed.Then according to the distribution of the characteristic point set,a characteristic point sequence reflecting the geometric features of multivariate time series is obtained.The incidence analysis between multivariate time series is transformed into the relational analysis between characteristic point sequences,and a grey incidence model is established.The model possesses the properties of translational invariance,transpose and rank transform invariance,and satisfies the grey incidence analysis axioms.Finally,two cases are studied and the results prove the effectiveness of the model.