A FUZZY MEASURE ALGEBRA AS A METRIC SPACE

Authors
SRIVASTAVA P KHARE M SRIVASTAVA YK
Citation
P. Srivastava et al., A FUZZY MEASURE ALGEBRA AS A METRIC SPACE, Fuzzy sets and systems, 79(3), 1996, pp. 395-400
Citations number
10
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
79
Issue
3
Year of publication
1996
Pages
395 - 400
Database
ISI
SICI code
0165-0114(1996)79:3<395:AFMAAA>2.0.ZU;2-M
Abstract
In this paper we extend to fuzzy subset setting the results from class ical measure theory that (i) a measure algebra (a, mu) with its canoni cal metric rho is a complete metric space for which the mappings A --> A', (A, B) --> A boolean OR B, (A, B) --> A boolean AND B are uniform ly continuous, and (ii) (a, rho) is a convex metric space iff a is non atomic. The classical results are particular cases of the extensions.