Extensions of a class of semi-continuous fuzzy measures

被引:3
作者
Li, XQ [1 ]
Wang, H [1 ]
Li, RX [1 ]
Qiao, Z [1 ]
机构
[1] Hebei Inst Architectural Engn, Zhangjiakou 075024, Hebei, Peoples R China
关键词
fuzzy set; fuzzy measure; sigma-possibility measure; CP-system; ECP-system; weak generalized field;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper introduces concepts of the sigma-possibility measure and the CP-system and ECP-system on a class of fuzzy sets, and shows that such a sigma-possibility measure must be a semi-continuous fuzzy measure. Furthermore, a necessary and sufficient condition to extend a sigma-possibility measure on a class of fuzzy sets is established, and some extension theorems of such sigma-possibility measures are proven. Therefore, the extension problem of a class of semi-continuous fuzzy measures is solved. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:397 / 401
页数:5
相关论文
共 7 条
  • [1] Dubois D.J., 1980, FUZZY SETS SYSTEMS T
  • [2] WANG ZY, 1985, P FUZZ MATH EARTHQ R
  • [3] WANG ZY, 1985, 1 IFSA C PALM MALL S
  • [4] Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5
  • [5] ZHONG Q, 1990, FUZZY SETS SYSTEMS, V38, P61
  • [6] ZHONG Q, 1987, P INT S FUZZ SYST KN
  • [7] ZHONG Q, 1989, FUZZY SETS SYSTEMS, V32, P315