Mahalanobis Distance-Pattern (MDP) Approach

（その考え方と応用）

抄録

Performance Indicator to support instinct to make appropriate decisions how to take and regulate our movements is developed. This is motived by the fact that current engineering is relying too much on artificial things and mathematical approaches. In the real world, the number of degrees of freedom is extremely large, so that research results, most of them are based on Euclidean Space approach, cannot be utilized due to the curse of dimensionality. And further, most of them pursue tactics. Their research goals are fixed from the first and how we can get to the goal more effectively is their focus of attention. But with environments and situations coming to change frequently, extensively and in an unpredicted manner, it becomes increasingly important to how we find our goal. In short, our engineering up to now is problem solving and tactics-driven, but now we should shift more to problem setting or goal finding and strategy-focused. Instinct, as the octopus demonstrates, works very well for this purpose. But as the real world is getting more and more complex, complicated and changing, the need to support instinct is rapidly increasing. But currently there is no performance indicator to help us make decisions. This paper, therefore, introduces non-Euclidean Space thinking to overcome the curse of dimensionality and to free us from the constraint of Euclidean Space orthonormality and unit. This performance indicator Mahalanobis Distance-Pattern (MDP) Approach combines Mahanalobis Distance for ordinal scale and pattern for holistic perception.