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SOME CONVERGENCE PROPERTIES OF THE SIGNED GENERATED CHOQUET INTEGRAL

장이채|이정곤
장전수학회 (Jangjeon Mathematical Society)|2015.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제18권 제2호|pp. 225-239|DOI 10.17777/pjms.2015.18.2.010

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참고문헌

키워드

fuzzy measuregenerated Choquet integralsigned generated Choquet integralconvergence in meanconvergence theorem
주제분류수학

초록

Couso-Montes-Gil (2002) proved some convergence theorems of the Choquet integral and Mihailovic-Pap (2011) studied the generated Choquet integral. In this paper, we consider the signed generated Choquet integral and investigate its properties. In particular, we define convergence in mean for the signed generated Choquet integral and discuss some convergence theorems for them.

Abstract

Couso-Montes-Gil (2002) proved some convergence theorems of the Choquet integral and Mihailovic-Pap (2011) studied the generated Choquet integral. In this paper, we consider the signed generated Choquet integral and investigate its properties. In particular, we define convergence in mean for the signed generated Choquet integral and discuss some convergence theorems for them.

참고문헌 (20)

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