Pseudometric generating property and autocontinuity of fuzzy measures

Authors
Jiang, QS Wang, SR Ziou, D Wang, ZY Klir, GJ
Citation
Qs. Jiang et al., Pseudometric generating property and autocontinuity of fuzzy measures, FUZ SET SYS, 112(2), 2000, pp. 207-216
Citations number
23
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
112
Issue
2
Year of publication
2000
Pages
207 - 216
Database
ISI
SICI code
0165-0114(20000601)112:2<207:PGPAAO>2.0.ZU;2-9
Abstract
Several necessary and sufficient conditions for the pseudometric generating property of non-additive set functions are given. The relation among the p seudometric generating property and autocontinuity of fuzzy measures is dep icted by using the absolute continuity and exhaustivity. Moreover, any unif ormly autocontinuous finite fuzzy measure is equivalent to a subadditive fi nite fuzzy measure. A further research on purely atomic fuzzy measures is a lso made. (C) 2000 Elsevier Science B.V. All rights reserved.