INTEGRALS OF SET-VALUED FUNCTIONS FOR PERPENDICULAR-TO-DECOMPOSABLE MEASURES

Authors
ZHANG DL GUO CM
Citation
Dl. Zhang et Cm. Guo, INTEGRALS OF SET-VALUED FUNCTIONS FOR PERPENDICULAR-TO-DECOMPOSABLE MEASURES, Fuzzy sets and systems, 78(3), 1996, pp. 341-346
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
78
Issue
3
Year of publication
1996
Pages
341 - 346
Database
ISI
SICI code
0165-0114(1996)78:3<341:IOSFFP>2.0.ZU;2-A
Abstract
In this paper, based on Weber's (1984) integrals for Archimedean t-con orms perpendicular to-decomposable measures, integrals of set-valued f unctions for Archimedean t-conorms perpendicular to-decomposable measu res are established. Some results similar to Aumann's set-valued integ rals are given. These include convexity, closedness, convergence theor ems, etc. All these are the generalization of Aumann's results.