Kybernetika 62 no. 2, 147-162, 2026

Solutions of quasi-homogeneity equation of aggregation functions

Feng-qing Zhu and Xue-ping WangDOI: 10.14736/kyb-2026-2-0147

Abstract:

The homogeneous functions play an important role in image processing, decision making and other relevant fields. In this article, we first give solutions of quasi-homogeneity equation of aggregation functions completely, and then we introduce the concept of triple generator of a quasi-homogeneous aggregation function, which is applied to construct a quasi-homogeneous aggregation function.

Keywords:

quasi-homogeneity, aggregation function, triple generator

Classification:

03B52, 03E72

References:

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