Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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A Note on Set-Valued Choquet Integrals

  • Hong, Dug-Hun (Department of Mathematics, Myongji University) ;
  • Kim, Kyung-Tae (Department of Electronics and Electrical Information Engineering, Kyungwon University)
  • Published : 2005.11.30
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Abstract

Recently, Zhang et al.(Fuzzy Sets and Systems 147(2004) 475-485) proved Fatou's lemma and Lebesgue dominated convergence theorem under some conditions of fuzzy measure. In this note, we show that these conditions of fuzzy measure is essential to prove Fatou's lemma and Lebesgue dominated convergence theorem by examples

Keywords

References

  1. Fuzzy Sets and Systems v.147 Set-valued Choquet integrals revisited Zhang, D.;Guo, C.;Liu, D.