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

来源：

FUZZY SETS AND SYSTEMS | 1998年 / 94卷 / 03期

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

页码：397 / 401

页数：5