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A note on the monotone interval-valued set function defined by the interval-valued Choquet integral

장이채
대한수학회 (The Korean Mathematical Society)|2007.04|대한수학회논문집 (Communications of the KMS)|제22권 제2호|pp. 227-234

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Abstract

At first, we consider nonnegative monotone interval-valued setfunctions and nonnegative measurable interval-valued functions.In this paper we investigate some properties and structuralcharacteristics of the monotone interval-valued set functiondefined by an interval-valued Choquet integral.

참고문헌 (20)

  1. "emph{Integrals of set-valued functions}", pp.1~ (1965)
  2. "emph{Convergence properties of the monotone expectation and itsapplication to the extension of fuzzy measures}", bila(s), pp.201~ (1989)
  3. "emph{Characterization and comparison of Sugeno and Choquetintegrals}", bila(s), pp.61~ (1992)
  4. "RSu integral of interval-valued functionsand fuzzy-valued functions redefined", 84, pp.301~308 (1996)
  5. "On the representation of Choquet integrals of set-valuedfunctions and null sets", 112, pp.233~239 (2000)
  6. "On set-valued Choquet intgerals and convergence theorems", 6(1), pp.63~76 (2003)
  7. "On set-valued Choquet intgerals and convergence theorems(II)", 40(1), pp.139~147 (2003)
  8. "A note on convexity and comonotonically additivity ofset-valued Choquet intgerals", 11(2), pp.137~148 (2003)
  9. "On Choquet intgerals of measurable fuzzy number-valuedfunctions", 41(1), pp.95~107 (2004)
  10. "Interval-valued Choquet integrals and their applications", 16(1-2), pp.429~445 (2004)
  11. "emph{An interpretation of fuzzymeasures and the Choquet integral asan integral with respect to a fuzzy measure}", suge, pp.201~ (1989)
  12. "emph{A theory of Fuzzy measures", pp.532~ (1991)
  13. "emph{RSome quantities represented by Choquet integral}", pp.229~ (1993)
  14. H. Suzuki, "On fuzzy measures defined by fuzzy integrals", 132, pp.87~101 (1998)
  15. Wang, "emph{ The autocontinuity of set function and the fuzzy integral}"
  16. "emph{On the null-additivity and the autocontinuity of fuzzymeasure}", pp.223~ (1992)
  17. Z. Wang, "Fuzzy measures defined by fuzzy integraland their absolute continuity", 203, pp.150~165 (1996)
  18. "Monotone set functions defined by Choquet integral,Fuzzy measures defined by fuzzy integral and their absolutecontinuity", 81, pp.241~250 (1996)
  19. R. Yang, "Fuzzy numbers and fuzzification of the Choquet integral", 153, pp.95~113 (2005)
  20. D. Zhang, "Set-valued Choquet integrals revisited", 147, pp.475~485 (2004)

관련 논문AI추천

On set-valued Choquet integrals and convergence theorems (II)장이채, 전종득, TaeKyun Kim대한수학회 · 대한수학회보2003 · 제40권 제1호On Choquet integrals of measurable fuzzy number-valued functions김원주, 장이채, 전종득, TaeKyun Kim대한수학회 · 대한수학회보2004 · 제41권 제1호On McShane-Stieltjes integrals of interval-valued functions and fuzzy-number-valued functions박춘기대한수학회 · 대한수학회보2004 · 제41권 제2호SOME CONVERGENCE PROPERTIES OF THE SIGNED GENERATED CHOQUET INTEGRAL이정곤, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호A note on interval-valued inclusion measures김태균, 김현미, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제2호A study on applications of Choquet integral on interval-valued fuzzy sets장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2007 · 제10권 제2호

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