METRIC-SPACES OF FUZZY-SETS

被引：316

作者：

DIAMOND, P ^{[1
]}

KLOEDEN, P ^{[1
]}

机构：

[1] MURDOCH UNIV,SCH MATH & PHYS SCI,MURDOCH,WA 6150,AUSTRALIA

来源：

FUZZY SETS AND SYSTEMS | 1990年 / 35卷 / 02期

关键词：

compact; Fuzzy sets; L[!sub]p[!/sub] metrics; locally compact;

D O I：

10.1016/0165-0114(90)90197-E

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Two classes of metrics are introduced for spaces of fuzzy sets. Their equivalence is discussed and basic properties established. A characterisation of compact and locally compact subsets is given in terms of boundedness and p-mean equileft-continuity, and the spaces shown to be locally compact, complete and separable metric spaces. © 1990.

引用

页码：241 / 249

页数：9