Metric spaces of fuzzy sets

Authors
Diamond, P Kloeden, P
Citation
P. Diamond et P. Kloeden, Metric spaces of fuzzy sets, FUZ SET SYS, 100, 1999, pp. 63-71
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
100
Year of publication
1999
Supplement
S
Pages
63 - 71
Database
ISI
SICI code
0165-0114(1999)100:<63:MSOFS>2.0.ZU;2-F
Abstract
Two classes of metrics are introduced for spaces of fuzzy sets. Their equiv alence 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, comp lete and separable metric spaces.