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Choquet Integral Defined by Lebesgue-Stieltjes Integral

Hongxia Sun

Open publisher page 3 citations

Abstract

This paper first generalizes Choquet integral by making use of Lebesgue-Stieltjes measure, it gives the definition of Choquet integral defined byLebesgue-Stieltjes integral and rearches some properties of this new integral; then, it researches the relationship between Choquet integral defined by Lebesgue-Stieltjes integral and Choquet integral, so integral conversion theorem is shown.

About this research paper

What this paper is about

This paper first generalizes Choquet integral by making use of Lebesgue-Stieltjes measure, it gives the definition of Choquet integral defined byLebesgue-Stieltjes integral and rearches some properties of this new integral; then, it researches the relationship between Choquet integral defined by Lebesgue-Stieltjes integral and Choquet integral, so integral conversion theorem is shown.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper first generalizes Choquet integral by making use of Lebesgue-Stieltjes measure, it gives the definition of Choquet integral defined byLebesgue-Stieltjes integral and rearches some properties of this new integral; then, it researches the relationship between Choquet integral defined by Lebesgue-Stieltjes integral and Choquet integral, so integral conversion theorem is shown.

Key concepts: Riemann–Stieltjes integral, Choquet integral, Mathematics, Lebesgue integration, Daniell integral, Riemann integral, Choquet theory, Lebesgue–Stieltjes integration

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