Some Properties of the Distance used in Taguchi's RT Method and their Improvement

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  • タグチのRT法で用いる距離の性質とその改良
  • タグチ ノ RTホウ デ モチイル キョリ ノ セイシツ ト ソノ カイリョウ

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Abstract

RT (Recognition Taguchi) method is the newest among MT (Mahalanobis Taguchi) system. Several application cases have been published, while the properties of RT method have not been studied theoretically so far. The calculation is not complicated and RT method seems to be an attractive procedure with original ideas. However, practitioners should be cautious when they apply it to continuous type data. This paper discusses the following viewpoints. <BR>  (1) The dimensions of all variables must be the same. Otherwise, one needs to translate the variables to non-dimension numbers. <BR>  (2) The distance used in RT method has an essentially inappropriate property. It takes some large value at the center of the unit space and attains zero at the point of different position from the center. When a new member comes from the center of the unit space, it would be decided that the member is outside of the unit space, which leads to be misleading. <BR>  (3) This paper proposes a new distance for RT system, which improves on the abovementioned inappropriate property. This new distance is zero at the center of the unit space, and then increases with variation as a member is getting further from the center.

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