논문KCI 등재
Convergence theorems for the Choquet-Pettis integral
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In this paper, we introduce the concept of Choquet- Pettis integral of Banach-valued functions using the Choquet integral of real-valued functions and investigate convergence theorems for the Choquet-Pettis integral.
Abstract
In this paper, we introduce the concept of Choquet- Pettis integral of Banach-valued functions using the Choquet integral of real-valued functions and investigate convergence theorems for the Choquet-Pettis integral.
참고문헌 (11)
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- Y. Narukawa, "Regular fuzzy measure and representation of comonotonically additive functions", Fuzzy Sets and Systems, 112(2), pp.177~186 (2000)
- M. Sugeno, "Theory of fuzzy integrals and its applications", Dr, pp.1974
- Z. Wang, "Monotone set functions defined by Choquet integral", Fuzzy Sets and Systems, 81, pp.241~250 (1996)
- D. Zhang, "Set-valued Choquet integrals revisited", Fuzzy Sets and Systems, 147, pp.475~485 (2004)
관련 논문AI추천
SET-VALUED CHOQUET-PETTIS INTEGRALS박춘기강원경기수학회 · 한국수학논문집2012 · 제20권 제4호On set-valued Choquet integrals and convergence theorems (II)장이채, 전종득, TaeKyun Kim대한수학회 · 대한수학회보2003 · 제40권 제1호Convergence theorems for set-valued Denjoy-Pettis integrable mappingsChun-Kee Park대한수학회 · 대한수학회논문집2009 · 제24권 제2호Convergence theorems for Denjoy-Pettis integrable fuzzy mappings박춘기강원경기수학회 · 한국수학논문집2010 · 제18권 제3호SOME CONVERGENCE PROPERTIES OF THE SIGNED GENERATED CHOQUET INTEGRAL이정곤, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호On Choquet integrals of measurable fuzzy number-valued functions김원주, 장이채, 전종득, TaeKyun Kim대한수학회 · 대한수학회보2004 · 제41권 제1호
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