为解决传统索引方法对高维数据索引时存在的维数灾难问题，提出一种多分辨率向量近似方法。
The Vector Approximation File approach overcomes some of the difficulties of dimensionality curse, but it cant support the quadratic form metric.
本文证明了，当投影空间足够好时，该方法得到的近似奇异值收敛，但近似奇异向量可能收敛很慢甚至不收敛。
It is proved that for sufficiently good subspaces the approximate singular values obtained by the harmonic projection methods converge while the corresponding approximate singular vectors may not.
定义了满足权重要求的模糊权重向量，利用三角模糊数的截集，给出了模糊加权平均数的计算原理、步骤和一种简便的近似方法。
The fuzzy weighted average operations are common ones in the assessment and decision analysis when the value and weight are described to triangular fuzzy number.
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