The structural properties and weak convergence of fuzzy orthogonal measures

Authors
Li, LS Sheng, ZH
Citation
Ls. Li et Zh. Sheng, The structural properties and weak convergence of fuzzy orthogonal measures, FUZ SET SYS, 112(2), 2000, pp. 271-276
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
112
Issue
2
Year of publication
2000
Pages
271 - 276
Database
ISI
SICI code
0165-0114(20000601)112:2<271:TSPAWC>2.0.ZU;2-5
Abstract
The aim of this paper is to study the fuzzy measures proposed by Butnariu [ 1-3]. First, the concept of fuzzy orthogonal measure on a regular fuzzy mea surable space is presented. Then, the structural characteristics of fuzzy o rthogonal measure, which shows the relation between the classical finite me asure and the fuzzy orthogonal measure, is demonstrated. Finally, the weak convergence of fuzzy orthogonal measures is investigated. (C) 2000 Elsevier Science B.V. All rights reserved.