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2019 | OriginalPaper | Buchkapitel

Normed Utility Functions: Some Recent Advances

verfasst von : Radko Mesiar, Anna Kolesárová, Andrea Stupňanová, Ronald R. Yager

Erschienen in: New Perspectives in Multiple Criteria Decision Making

Verlag: Springer International Publishing

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Abstract

In this chapter, we summarize some new results and trends in aggregation theory, thus contributing to the domain of normed utility functions. In particular, we discuss k-additive and k-maxitive aggregation functions and also present some construction methods. Penalty- and deviation-based approaches can be seen as implicitly given construction methods. For non-symmetric (weighted) aggregation functions, four symmetrization methods based on the optimization are introduced. All discussed results and construction methods are exemplified.

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Titel: Normed Utility Functions: Some Recent Advances
verfasst von: Radko Mesiar
Anna Kolesárová
Andrea Stupňanová
Ronald R. Yager
Verlag: Springer International Publishing
Buch: New Perspectives in Multiple Criteria Decision Making
Print ISBN: 978-3-030-11481-7

Electronic ISBN: 978-3-030-11482-4

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-030-11482-4_5

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