LEBESGUE AND SAKS DECOMPOSITIONS OF SIGMA-FINITE FUZZY MEASURES

Authors
JIANG QS SUZUKI H
Citation
Qs. Jiang et H. Suzuki, LEBESGUE AND SAKS DECOMPOSITIONS OF SIGMA-FINITE FUZZY MEASURES, Fuzzy sets and systems, 75(3), 1995, pp. 373-385
Citations number
12
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
75
Issue
3
Year of publication
1995
Pages
373 - 385
Database
ISI
SICI code
0165-0114(1995)75:3<373:LASDOS>2.0.ZU;2-W
Abstract
Two kinds of absolute continuity of fuzzy measures are distinguished a nd relations between them are established. The scope of fuzzy measures under our consideration is limited in a family of those that are sigm a-finite and absolute continuous with respect to a finite autocontinuo us fuzzy measure. Under this restriction, Lebesgue decomposition and S aks decomposition are proved.