On k–additive Aggregation Functions View Full Text


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Chapter Info

DATE

2016-09-08

AUTHORS

Anna Kolesárová , Jun Li , Radko Mesiar

ABSTRACT

Inspired by the Grabisch idea of k–additive measures, we introduce and study k–additive aggregation functions. The Owen multilinear extension of a k–additive capacity is shown to be a particular k–additive aggregation function. We clarify the relation between k–additive aggregation functions and polynomials of a degree not exceeding k. We also describe \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n^2 + 2n$$\end{document} basic 2–additive n–ary aggregation functions whose convex closure forms the class of all 2–additive n–ary aggregation functions. More... »

PAGES

47-55

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-45656-0_4

DOI

http://dx.doi.org/10.1007/978-3-319-45656-0_4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031196311


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