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.