Extensions of Capacities View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2016-01-12

AUTHORS

Anna Kolesárová , Andrea Stupňanová

ABSTRACT

We study extensions of capacities on N={1,…,n}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N=\{1,\ldots ,n\}$$\end{document} to n-ary aggregation functions acting on [0,1]n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[0, 1]^{n}$$\end{document}. Besides recalling the universal integral based approaches following the ideas of Klement et al. and generalizations of the Lovász and Owen extensions, we also present some new approaches to extending such capacities which are based on a generalization of the formulas for the discrete Choquet and Sugeno integrals. More... »

PAGES

181-198

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-28808-6_11

DOI

http://dx.doi.org/10.1007/978-3-319-28808-6_11

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1045907670


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