\(\Delta\)-Choquet integral on time scales with applications

DOI10.1016/j.chaos.2022.111969zbMath1498.26089OpenAlexW4220982012MaRDI QIDQ2098754

Publication date: 18 November 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111969

zbMATH Keywords

Choquet integral fuzzy measure Lebesgue measure Lebesgue \(\Delta\)-measure time-scale distorted Lebesgue measure Lebesgue \(\Delta\)-integral Lebesgue-Stieltjes \(\Delta\)-integral Lebesgue-Stieltjes \(\Delta\)-measure

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Fuzzy measure theory (28E10) Real analysis on time scales or measure chains (26E70)

Cites Work

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On a comparison between Mahalanobis distance and Choquet integral: the Choquet-Mahalanobis operator
Choquet integral with respect to a symmetric fuzzy measure of a function on the real line
A discrete Choquet integral for ordered systems
Signed integral representations of comonotonic additive functionals
Analysis on measure chains - a unified approach to continuous and discrete calculus
Line integrals and Green's formula on time scales
Multidimensional generalized fuzzy integral
The application of fuzzy integrals in multicriteria decision making
Axiomatic characterization of insurance prices
Conditions for Choquet integral representation of the comonotonically additive and monotone functional.
Using Choquet integral in economics
Integration on time scales.
Entropy for non-additive measures in continuous domains
New oscillation criteria of special type second-order non-linear dynamic equations on time scales
Scott functions, their representations on domains, and applications to random sets
On the \(f\)-divergence for discrete non-additive measures
Choquet operators associated to vector capacities
Andness directedness for operators of the OWA and WOWA families
New oscillation criteria for \(p\)-Laplacian dynamic equations on time scales
Linear fuzzy Volterra integral equations on time scales
A generalization of the discrete Choquet and Sugeno integrals based on a fusion function
Periodic solutions of the \(N\)-preys and \(M\)-predators model with variable rates on time scales
Three types of generalized Choquet integral
New oscillatory results for non-linear delay dynamic equations with super-linear neutral term
Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
On the equivalence of the Choquet, pan- and concave integrals on finite spaces
A note on derivatives of functions with respect to fuzzy measures
An application of time scales to economics
Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
Generalized transformed \(t\)-conorm integral and multifold integral
Theory of capacities
Oscillation and nonoscillation theorems of neutral dynamic equations on time scales
Some properties of Choquet integral based probability functions
On a Subjective Evaluation Model by a Generalized Fuzzy Integral
LOGICAL INTERPRETATION OF DISCRETE CHOQUET INTEGRAL DEFINED BY GENERAL MEASURE
Choquet integration on Riesz spaces and dual comonotonicity
Fractional q-Calculus on a time scale
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
The Choquet integral with respect to fuzzy measures and applications
Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales
A generalized delta derivative on time scale with applications
Oscillation for a nonlinear neutral dynamic equations on time‐scales with variable exponents
Henstock-Kurzweil-Pettis integral and weak topologies in nonlinear integral equations on time scales

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