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SET-VALUED CHOQUET-PETTIS INTEGRALS

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In this paper, we introduce the Choquet-Pettis integral of set-valued mappings and investigate some properties and convergence theorems for the set-valued Choquet-Pettis integrals.

Abstract

In this paper, we introduce the Choquet-Pettis integral of set-valued mappings and investigate some properties and convergence theorems for the set-valued Choquet-Pettis integrals.

참고문헌 (18)

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  6. L. Di Piazza, "A decomposition theorem for compact-valued Hen- stock integral", Monatsh. Math, 148, pp.119~126 (2006)
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  11. L.C. Jang, "On the representation of Choquet integrals of set-valued functions, and null sets", Fuzzy Sets and Systems, 112, pp.233~239 (2000)
  12. T. Murofushi, "An interpretation of fuzzy measure and the Choquet integral as an integral with respect to a fuzzy measure", Fuzzy Sets and Systems, 29, pp.201~227 (1989)
  13. T. Murofushi, "A theory of fuzzy measure representations, the Choquet integral, and null sets", J. Math. Anal. Appl, 159, pp.532~549 (1991)
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  15. C.K. Park, "On Choquet-Pettis integral", submitted
  16. M. Sugeno, "Theory of fuzzy integrals and its applications", 박사, pp.1974
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  18. W. Zhang, "Set-Valued Stochastic Process" (1996), Academic Press

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