ON THE CONVERGENCE OF SEQUENCES OF FUZZY MEASURES AND GENERALIZED CONVERGENCE THEOREMS OF FUZZY INTEGRALS

Authors
ZHANG DL GUO CM
Citation
Dl. Zhang et Cm. Guo, ON THE CONVERGENCE OF SEQUENCES OF FUZZY MEASURES AND GENERALIZED CONVERGENCE THEOREMS OF FUZZY INTEGRALS, Fuzzy sets and systems, 72(3), 1995, pp. 349-356
Citations number
8
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
72
Issue
3
Year of publication
1995
Pages
349 - 356
Database
ISI
SICI code
0165-0114(1995)72:3<349:OTCOSO>2.0.ZU;2-6
Abstract
In this paper, we will investigate further fuzzy measures and fuzzy in tegrals given by Sugeno (1974). Our purpose is concentrated on the con vergence of sequences of fuzzy measures or fuzzy integrals. Some conce pts such as ''convergence'', ''uniform convergence'',, ''convergence i n integral'', ''weak convergence'' are introduced for the sequence of fuzzy measures. Then the properties and relations of them are discusse d. Furthermore, various kinds of convergence theorems of fuzzy integra ls are extended. These are generalized monotone convergence theorem, g eneralized Fatou's lemma, etc.