A THEORY OF FUZZY MEASURES - REPRESENTATIONS, THE CHOQUET INTEGRAL, AND NULL SETS

被引：244

作者：

MUROFUSHI, T

SUGENO, M

机构：

[1] Tokyo Institute of Technology, Department of Systems Science, Midori-ku, Yokohama, 227

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 159卷 / 02期

关键词：

D O I：

10.1016/0022-247X(91)90213-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some theorems of T. Murofushi and M. Sugeno (Fuzzy Sets and Systems 29 (1989), 201-227) concerning representation of fuzzy measures and the Choquet integral are generalized. It is shown that, if there is a certain relation between two measurable functions, then the Choquet integral is additive for these two functions. In addition this article discusses null sets with respect to fuzzy measures and also fuzzy measures defined on a class which is not a σ-algebra. © 1991.

引用

页码：532 / 549

页数：18

共 5 条

[1]

Choquet G., 1954, ANN I FOURIER GRENOB, V5, P131, DOI DOI 10.5802/AIF.53

[2]

HOHLE U, 1982, FUZZY SETS POSSIBILI, P344

[3] AN INTERPRETATION OF FUZZY MEASURES AND THE CHOQUET INTEGRAL AS AN INTEGRAL WITH RESPECT TO A FUZZY MEASURE [J].