Citation: | WANG Feng-ye, ZHANG Qiang. Variations and Absolute Continuity of Set Functions onT∞-tribe[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(3): 375-378. |
[1] |
Pap E. Null-additive set functions[M]. Dordrecht: Kluwer Academic Publishers, 1995.
|
[2] |
Zhang Qiang. Some properties of the variations of non-additive set functions Ⅰ[J]. Fuzzy Sets and Systems, 2001, 118(3): 529-538.
|
[3] |
Zhang Qiang. Some properties of the variations of non-additive set functions Ⅱ[J]. Fuzzy Sets and Systems, 2001, 121(2): 257-266.
|
[4] |
Zhang Qiang, Xu Yang, Du Wen. Lebesgue decomposition theorem for σ-finite signed fuzzy measures[J]. Fuzzy Sets and Systems, 1999, 101(3):445-451.
|
[5] |
Klement E P. Fuzzy σ-algebras and fuzzy measurable functions[J]. Fuzzy Sets and Systems, 1980, 4(1): 83-93.
|
[6] |
Klement E P. Characterization of finite fuzzy measures using Markoff-kernels[J]. Journal of Mathematical Analysis and Applications, 1980, 75(2): 330-339.
|
[7] |
Klement E P. Construction of fuzzy σ-algebras using triangular norms . Journal of Mathematical Analysis and Applications, 1982, 85(2): 543-565.
|
[8] |
Klement E P. Characterization of fuzzy measures constructed by means of triangular norms[J]. Journal of Mathematical Analysis and Applications, 1982, 86(2): 345-358.
|
[9] |
Butnariu D, Klement E P. Triangular norm based measures and games with fuzzy coalitions[M]. Dordrecht: Kluwer Academic Publishers, 1993.
|
[10] |
Butnariu D. Additive fuzzy measures and integralⅠ[J]. Journal of Mathematical Analysis and Applications, 1983, 93(2): 436-452.
|
[11] |
Mesiar R. Fundamental triangular norm-based tribes and measures[J]. Journal of Mathematical Analysis and Applications, 1993, 177(2): 633-640.
|
[12] |
Mesiar R, Navara M.
Ts-tribes and
Ts-measures[J]. Journal of Mathematical Analysis and Applications, 1996, 201(1): 91-102.
|
[13] |
Tan Chunqiao, Zhang Qiang. Some properties of the variations of non-additive set functions on
T-tribes[J]. Fuzzy Sets and Systems, 2007, 158(21): 2394-2412.
|
[14] |
Feng Yuan, Yang Lixin. Further discussion on the decomposition theorems for measures[J]. Fuzzy systems and mathematics, 2007, 21(6):88-95. (in Chinese) (Edited by
|