On Lebesgue-type theorems for interval-valued Choquet integrals with respect to a monotone set function

다국어 초록 (Multilingual Abstract)

In this paper, we consider Lebesgue-type theorems in non-additive measure theory and then investigate interval-valued Choquet integrals and interval-valued fuzzy integral with respect to a additive monotone set function. Furthermore, we discuss the equivalence among the Lebesgue's theorems, the monotone convergence theorems of interval-valued fuzzy integrals with respect to a monotone set function and find some sufficient condition that the monotone convergence theorem of interval-valued Choquet integrals with respect to a monotone set function holds.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Preliminaries
• 3. Convergence of sequences of interval-valued functions
• References
• 저자소개

참고문헌 (Reference)

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