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Classsically, in the theory of aggregation we consider the broadly-conceived averaging functions and logical connectives. However, one often needs a very different kind of a proper synthesis of multidimensional numeric data into a single number. In this paper we propose an axiomatization and investigate most fundamental properties of the dispersion functions, which may be used to measure data variability, spread, or scatter. This class includes e.g. the sample variance, standard ability, spread, or scatter. This class includes e.g. the sample variance, standars veriation, range, interquartile range (IQR), median absolute deviation (MAD) etc., that is functions widely used in exploratory data analysis as descriptive statistics.
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Projects co-financed by:
Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
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Click the link below to view the content.https://www.ibspan.waw.pl/~alex/OZwRCIN/WA777_114557_RB-2013-08_Dispersion%20functions%20:%20aggregation%20operators%20that%20measure%20variability,%20spread,%20or%20scatter%20of%20numeric%20sequences_content.pdf