A characterization of the Logarithmic Least Squares Method
研究从成对比较矩阵导出偏好向量的对数最小二乘法（行几何均值法），证明它是唯一同时满足一致性正确性和三元组变换不变性两个公理的方法。
We provide an axiomatic characterization of the Logarithmic Least Squares Method (sometimes called row geometric mean), used for deriving a preference vector from a pairwise comparison matrix. This procedure is shown to be the only one satisfying two properties, correctness in the consistent case, which requires the reproduction of the inducing vector for any consistent matrix, and invariance to a specific transformation on a triad, that is, the weight vector is not influenced by an arbitrary multiplication of matrix elements along a 3-cycle by a positive scalar.