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A note on ?d-Choquet integrals: Choquet integrals based on dissimilarities?

Authors: Alcantud, Jos? Carlos R.;

A note on ?d-Choquet integrals: Choquet integrals based on dissimilarities?

Abstract

[EN] The d-Choquet integral extends the classical Choquet integral by substituting the difference operator with a restricted dissimilarity function. Bustince et al. introduced Property (P1) in 2021 to ensure the boundedness of this generalized integral within the unit interval. In this note, we emphasize the necessity of revising this property. Such a revision is crucial for maintaining the formal accuracy of the theoretical framework for d-Choquet integrals.

Country
Spain
Related Organizations
Keywords

Property (P1), Restricted dissimilarity, Choquet integral, Aggregation function, 1206.05 Ecuaciones Integrales, d-Choquet integral

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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