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Generalized phi-transformations of aggregation functions
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DOI：10.1016/j.fss.2018.09.016.png)
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Abstract
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In this paper we present a new method of construction of aggregation functions based on the so-called bijective chains, that generalizes the standard isomorphic phi-transforms of aggregation functions. It covers, among others, several known construction methods, such as the construction of copulas based on ultramodular copulas, or particular ordinal sums of aggregation functions, e.g., of t-norms, copulas, t-conorms. Several properties of the proposed construction method are discussed and exemplified. (C) 2018 Elsevier B.V. All rights reserved.
Keywords:
Aggregation function
Weighted arithmetic mean
Ordinal sum construction
phi-transform
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