Journal of Hebei University(Natural Science Edition) >

2010 , Vol. 30 >Issue 4: 353 - 355,360

DOI: https://doi.org/10.3969/j.issn.1000-1565.2010.04.004

Regression Model Based on an Generalized Choquet Integral

  • CHEN Ya-ting ,
  • WU Bo ,
  • ZHANG Guo-chun
Expand

Online published: 2010-07-25

Fold

Cite this article

CHEN Ya-ting , WU Bo , ZHANG Guo-chun . Regression Model Based on an Generalized Choquet Integral[J]. Journal of Hebei University(Natural Science Edition), 2010 , 30(4) : 353 -355,360 . DOI: 10.3969/j.issn.1000-1565.2010.04.004

References

[1] HALMOS P R. Measure theory [M]. NewYork:Van Nostrand 1967.
[2] DENNEBERG D. Non -additive measure and integral [M]. Dordrecht:kluwer Academic Publishers 1994.
[3] WANG Zhenyuan, KLIR G. Fuzzy measure theory [M]. New York:Plenum Press 1992.
[4] SUGENO M. Theory of fuzzy integrals and its applications [D]. Tokyo:Tokyo Institute of Technology 1974.
[5] CHOQUET G. Theory of capacities [J]. Ann Institut Fourier 1954.
[6] Zhenyuan Wang, Kwong-Sak Leung, Man-Leung Wong. Nonlinear nonnegative multiregressions based on Choquet integrals [J]. International journal of approximate reasoning 2000, 2(2).
[7] Kebin Xu, Zhenyuan Wang, Pheng-Ann Heng, Kwong-Sak Leung. Classification by nonlinear integral projections [J]. IEEE Transactions on Fuzzy Systems: A Publication of the IEEE Neural Networks Council 2003, 2(2).
[8] WANG Zhenyuan, LEUNG K, KLIR G. Applying fuzzy measures and nonlinear integral in data mining [J]. Fuzzy Sets and Systems 2005.
[9] YANG Rong, WANG Zhenyuan, HENG P. Fuzzy numbers and fuzzification of Choquet ntegrals [J]. Fuzzy Sets and Systems 2005.
[10] YANG Rong, WANG Zhenyuan, HENG P. Fuzzified Choquet integral with fuzzy-valued integrand and its application on temperature prediction [J]. IEEE-Transactions on SMCB 2008, 38(02).
[11] WANG Zhenyuan, LEE K, LEUNG K. The Choquet integral with respect to fuzzy-valued signed efficiency measures [R]. Hong Kong, FUZZ-IEEE 2008.
Options
Outlines

/

〈 〉