# Remarks on the Choquet Integral Calculus on $[a, t]$, with $a\in \mathbb{R}$

## TL;DR

This paper extends the mathematical framework of the Choquet integral calculus from the interval [0, t] to a more general interval [a, t], allowing for broader applications in analysis.

## Contribution

It generalizes existing Choquet integral calculus to intervals starting at any real number a, broadening its theoretical scope.

## Key findings

- Extended Choquet integral calculus to [a, t] intervals
- Provided theoretical foundations for generalized intervals
- Facilitated potential applications in analysis and decision theory

## Abstract

In this note, we extend the considerations for the Choquet integral calculus on the interval $[0, t]$ introduced in \cite{Su}, \cite{Su3}, to the case of an interval $[a, t]$, with arbitrary $a\in \mathbb{R}$.