多维系统优化中马氏田口强相关问题研究

Mahalanobis-Taguchi System (MTS) is a new method for multidimensional system analysis. However, the calculation of Mahalanobis distance becomes difficult and inaccurate because of multicollinearity, which limits the application of MTS. Traditional MTS method is introduced and the effect on MTS by multicollinearity is analyzed; a new method, M-P generalized inverse matrix method of MTS, is put forward. Compared with traditional MTS method, the new method has three advantages: existence, uniqueness and commonality, which can be more effectively used for multidimensional system optimization. And a blood-viscosity-diagnose system is optimized and analyzed to illustrate the effectiveness of the proposed method.