Journal of Hebei University(Natural Science Edition) >

2010 , Vol. 30 >Issue 1: 11 - 15

DOI: https://doi.org/10.3969/j.issn.1000-1565.2010.01.003

Further Discussion on Properties of Set-valued Fuzzy Choquet Integral

  • WANG Ai-ru ,
  • QIAO Jun-jian
Expand

Online published: 2010-01-25

Fold

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

Cite this article

WANG Ai-ru , QIAO Jun-jian . Further Discussion on Properties of Set-valued Fuzzy Choquet Integral[J]. Journal of Hebei University(Natural Science Edition), 2010 , 30(1) : 11 -15 . DOI: 10.3969/j.issn.1000-1565.2010.01.003

References

[1] 张风霜, 王贵君, ZHANG Feng-shuang, WANG Gui-jun. 集值模糊Choquet积分的广义性质 [J]. 天津师范大学学报(自然科学版) 2005.doi:10.3969/j.issn.1671-1114.2005.03.013
[2] JANG L C, KIL B M, KIM Y K. Some properties of Choquet integrals of set-valued functions [J]. Fuzzy Sets and Systems 1997, 91.
[3] 哈明虎, 吴从炘. 模糊测度与模糊积分理论 [M]. 北京:科学出版社 1998.
[4] HA Minghu, WANG Xizhao, YANG Lanzhen. Sequences of (S)fuzzy integral functions [J]. Fuzzy Sets and Systems 2003, 138.
[5] WANG Zhenyuan, KLIR G J. Fuzzy Measure Theory [M]. New York:Plenum Press 1992.
[6] Jang LC., Kwon JS.. On the representation of Choquet integrals of set-valued functions, and null sets [J]. Fuzzy sets and systems 2000, 2(2).
Options
Outlines

/

〈 〉