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.
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.
[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).
