Homogeneity, which plays an essential role in decision making, economics and image processing, reflects the regularity of aggregation functions with respect to the inputs with the same ratio. Quasi-homogeneity is a relaxed homogeneity that reflects the original output as well as the same ratio. This paper is devoted to the characterization of all homogeneous/quasi-homogeneous binary aggregation functions in terms of single-argument functions.

中文翻译：

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齐次和准齐次二元聚合函数的表征

同质性在决策、经济和图像处理中起着至关重要的作用，它反映了聚合函数相对于具有相同比率的输入的规律性。准同质性是一种放松的同质性，它反映了原始输出以及相同的比率。本文致力于用单参数函数来表征所有齐次/准齐次二元聚合函数。