Geodesic
Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions
Kybernetika, Tome 57 (2021) no. 6, pp. 958-969 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Homogeneity, as one type of invariantness, means that an aggregation function is invariant with respect to multiplication by a constant, and quasi-homogeneity, as a relaxed version, reflects the original output as well as the constant. In this paper, we characterize all homogeneous/quasi-homogeneous $n$-ary aggregation functions and present several methods to generate new homogeneous/quasi-homogeneous $n$-ary aggregation functions by aggregation of given ones.
Homogeneity, as one type of invariantness, means that an aggregation function is invariant with respect to multiplication by a constant, and quasi-homogeneity, as a relaxed version, reflects the original output as well as the constant. In this paper, we characterize all homogeneous/quasi-homogeneous $n$-ary aggregation functions and present several methods to generate new homogeneous/quasi-homogeneous $n$-ary aggregation functions by aggregation of given ones.
DOI : 10.14736/kyb-2021-6-0958
Classification : 03E72
Keywords: aggregation functions; invariantness; homogeneity; quasi-homogeneity 
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Su, Yong; Mesiar, Radko. Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions. Kybernetika, Tome 57 (2021) no. 6, pp. 958-969. doi: 10.14736/kyb-2021-6-0958

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