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Choquet integrals on L-fuzzy sets

  • Yan Huang*
  • , Congxin Wu
  • *Corresponding author for this work
  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper the Choquet integrals on L-fuzzy sets is introduced, and some elementary properties of this kind of Choquet integrals are studied. A necessary and sufficient condition that the equality of two measurable mappings almost everywhere can always imply the equality of their corresponding integrals is given. Convergence theorems of a sequence of Choquet integrals are shown. Finally, as an application of Choquet integrals, a new set function defined by Choquet integrals is discussed.

Original languageEnglish
Title of host publicationProceedings - 5th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2008
Pages576-580
Number of pages5
DOIs
StatePublished - 2008
Event5th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2008 - Jinan, Shandong, China
Duration: 18 Oct 200820 Oct 2008

Publication series

NameProceedings - 5th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2008
Volume1

Conference

Conference5th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2008
Country/TerritoryChina
CityJinan, Shandong
Period18/10/0820/10/08

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