Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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A NOTE ON SET-VALUED FUZZY INTEGRALS

  • Hong, Dug-Hun (Department of Mathematics, Myongji University) ;
  • Kim, Kyung-Tae (Department of Electronics and Electrical Information Engineering, Kyungwon University)
  • 발행 : 2005.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

It is known that the classical Fatou's lemma and Lebesgue convergence theorem do not require the assumption that J1. is finite. In this note, we show that the assumption $\mu$(X) < $\infty$ cannot be replaced with a weaker assumption to prove Fatou's lemma and Lebesgue convergence theorem for a sequence of set-valued measurable function suggested by Zhang and Wang (Fuzzy Sets and Systems 56(1993) 237-241).

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