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2011•Journal of Suzhou University of Science and TechnologyRequires access

Lebesgue-Stieltjes fuzzy Choquet Integral and its properties

WU Jian-rong

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Abstract

The fuzzy Choquet integral is extended by means of Lebesgue-Stieltjes measure.Fundamental properties and convergence theorems of the new integral are studied.Monotone convergence theorem,Fatou's lemma and controlled convergence theorem are obtained.

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What this paper is about

The fuzzy Choquet integral is extended by means of Lebesgue-Stieltjes measure.Fundamental properties and convergence theorems of the new integral are studied.Monotone convergence theorem,Fatou's lemma and controlled convergence theorem are obtained.

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Available abstract

The fuzzy Choquet integral is extended by means of Lebesgue-Stieltjes measure.Fundamental properties and convergence theorems of the new integral are studied.Monotone convergence theorem,Fatou's lemma and controlled convergence theorem are obtained.

Key concepts: Choquet integral, Riemann–Stieltjes integral, Fuzzy logic, Mathematics, Lebesgue integration, Fuzzy measure theory, Pure mathematics, Fuzzy set

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