Aggregation of Choquet Integrals View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2016

AUTHORS

Radko Mesiar , Ladislav Šipeky , Alexandra Šipošová

ABSTRACT

Aggregation functions acting on the lattice of all Choquet integrals on a fixed measurable space \((\mathrm {X},\mathcal {A})\) are discussed. The only direct aggregation of Choquet integrals resulting into a Choquet integral is linked to the convex sums, i.e., to the weighted arithmetic means. We introduce and discuss several other approaches, for example one based on compatible aggregation systems. For \(\mathrm {X}\) finite, the related aggregation of OWA operators is obtained as a corollary. The only exception, with richer structure of aggregation functions, is the case \(card \ \mathrm {X} = 2\), when the lattice of all OWA operators forms a chain. More... »

PAGES

58-64

Book

TITLE

Information Processing and Management of Uncertainty in Knowledge-Based Systems

ISBN

978-3-319-40595-7
978-3-319-40596-4

From Grant

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-40596-4_6

DOI

http://dx.doi.org/10.1007/978-3-319-40596-4_6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1051379168


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