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

[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.
openaire   +3 more sources

Material Selection in Engineering Design Using Choquet Integral-Based Linguistic Operators under Hybrid Environment

Journal of Control Science and Engineering, 2015
The performance of phase change materials directly influences the performance and cost of thermal energy storage, and it is the first important task to select the suitable phase change materials for use in a particular kind of applications.
Anhua Peng, Xiqin Wen, Kaibo Wu
doaj   +1 more source

Some Fubini theorems on product sigma-algebras for non-additive measures [PDF]

We give some Fubini's theorems (interversion of the order of integration and product capacities) in the framework of the Choquet integral for product sigma-algebras. Following Ghirardato this is performed by considering slice-comonotonic functions.
Jean-Philippe Lefort, Alain Chateauneuf
core  

Research on Evaluation of Meteorological Disaster Governance Capabilities in Mainland China Based on Generalized λ-Shapley Choquet Integral. [PDF]

Int J Environ Res Public Health, 2021
Wang Y, Xiao F, Zhang L, Gong Z.
europepmc   +1 more source

Poster Sessions

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

A Comparison on Choquet Integral with Respect to Different Information-Based Fuzzy Measures

, 2009
[[abstract]]When interactions among independent variables exist in forecasting problems, the performance of the traditional multiple linear regression method is poor. On the contrary, non-additive fuzzy measures and fuzzy integral can be considered.
Shang-Wen Tseng
core  

Twofold integral and multi-step Choquet integral

, 2018
In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral.
Narukawa, Yasuo, Torra, Vicenç
core   +1 more source

Discrete Choquet Integral Based on Quasi-Overlap Functions on Intuitionistic Fuzzy Sets and Its Application in Multi-Class Ensemble Learning

Journal of Mathematics
As a extension of fuzzy sets, intuitionistic fuzzy sets play an essential part in processing uncertain information. Quasi-Overlap functions have emerged in recent years as a tool for information aggregation.
Peng Yu, Feng Yang, Yaoyao Fan
doaj   +1 more source

Modeling attitudes toward uncertainty through the use of the Sugeno integral [PDF]

The aim of the paper is to present under uncertainty, and in an ordinal framework, an axiomatic treatment of the Sugeno integral in terms of preferences which parallels some earlier derivations devoted to the Choquet integral.
Michel Grabisch, Alain Chateauneuf, Agnès Rico   +2 more
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Generalizing Choquet integral with level dependent capacities

, 2006
We present a generalization of Choquet integral in which the capacity depends on the level of the aggregated variables. We show that as particular cases of our generalization of Choquet integral there are the Sugeno integral, the Sipos integral and the ...
GIOVE, Silvio, MATARAZZO B., MATARAZZO B, GRECO S, GIOVE S.   +4 more
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