Approximation with rates by Kantorovich-Choquet quasi-interpolation neural network operators.- Approximation with rates by Perturbed Kantorovich-Choquet Neural Network Operators.- Approximation with rates by Shift Invariant Univariate Sublinear-Choquet Operators.- Approximation with rates by Shift Invariant Multivariate Sublinear-Choquet Operators.- Hardy type inequalities for Choquet integrals.- Quantitative Approximation by Choquet integrals.- Conformable Fractional Approximation by Choquet integrals.- Multivariate and Convex Quantitative Approximation by Choquet integrals.- Caputo and Canavati fractional Quantitative Approximation by Choquet integrals.- Mixed Conformable and Iterated fractional Quantitative Approximation by Choquet integrals.