河北大学学报(自然科学版) ›› 2010, Vol. 30 ›› Issue (1): 11-15.DOI: 10.3969/j.issn.1000-1565.2010.01.003

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关于集值模糊Choquet积分性质的进一步讨论

王爱茹,乔均俭   

  1. 河北农业大学,理学院,河北,保定,071001
  • 出版日期:2010-01-25 发布日期:2010-01-25
  • 基金资助:
    国家自然科学基金,河北农业大学校科研和教改项目

Further Discussion on Properties of Set-valued Fuzzy Choquet Integral

WANG Ai-ru,QIAO Jun-jian   

  • Online:2010-01-25 Published:2010-01-25

摘要: 集值模糊Choquet积分是Choquet积分、集值Choquet积分和模糊Choquet积分的重要推广,本文进一步讨论了集值模糊Choquet积分的性质,并修正了张风霜文章<集值模糊Choquet积分的广义性质>的不严密之处.

关键词: 非连续模糊测度, 可测集值映射, 集值模糊Choquet积分

Abstract: Set-valued fuzzy Choquet integral is an important generalization of Choquet integral, set-valued Choquet integral and fuzzy Choquet integral. In this paper some properties of set-valued fuzzy Choquet integral are further discussed, and some imprecision in Zhang Feng-shuang generalized properties of set-valued fuzzy choquet integrals are revised.

Key words: discontinuous fuzzy measure, measurable set-valued mapping, set-valued fuzzy Choquet integral

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