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Choquet integrals with respect to fuzzy measure on fuzzy σ–algebra

  • 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 a new kind of Choquet integral with respect to fuzzy measure on fuzzy ω-algebra is introduced, and some elementary properties of this kind of Choquet integral are studied. Convergence theorems for sequences of Choquet integrals are shown. A transformation theorem is given, which reveals the relation between this kind of Choquet integral on fuzzy sets and the Choquet integral on classical crisp sets. Finally, a new set function defined by this kind of Choquet integral is discussed. This new set function preserves many structural characteristics of the original set function.

Original languageEnglish
Title of host publicationAdvances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers
PublisherSpringer Verlag
Pages329-337
Number of pages9
ISBN (Print)3540335846, 9783540335849
DOIs
StatePublished - 2006
Event4th International Conference on Machine Learning and Cybernetics, ICMLC 2005 - Guangzhou, China
Duration: 18 Aug 200521 Aug 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3930 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Conference on Machine Learning and Cybernetics, ICMLC 2005
Country/TerritoryChina
CityGuangzhou
Period18/08/0521/08/05

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