The relationship between structural characteristics of fuzzy measure and convergences of sequences of measurable functions

Authors
Liu, YK Liu, BD
Citation
Yk. Liu et Bd. Liu, The relationship between structural characteristics of fuzzy measure and convergences of sequences of measurable functions, FUZ SET SYS, 120(3), 2001, pp. 511-516
Citations number
11
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
120
Issue
3
Year of publication
2001
Pages
511 - 516
Database
ISI
SICI code
0165-0114(20010616)120:3<511:TRBSCO>2.0.ZU;2-U
Abstract
In this paper, some new concepts - property (S-1), property (PS), property (PS1) - are introduced. The converse problems of convergence theorems, such as Egoroffs theorem and Riesz's theorem, are discussed. Some new results a bout the relationship between structural characteristics of fuzzy measure a nd convergences of sequences of measurable functions are obtained. (C) 2001 Elsevier Science B.V. All rights reserved.