COMPLETIONS AND FUZZY POWER-SERIES SUBRINGS

Citation
E. Eslami et Jn. Mordeson, COMPLETIONS AND FUZZY POWER-SERIES SUBRINGS, Fuzzy sets and systems, 82(1), 1996, pp. 97-102
Citations number
10
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
ISSN journal
01650114
Volume
82
Issue
1
Year of publication
1996
Pages
97 - 102
Database
ISI
SICI code
0165-0114(1996)82:1<97:CAFPS>2.0.ZU;2-F
Abstract
Fuzzy subrings which are complete with respect to a given pseudo-metri c are described. A natural definition of the completion of a fuzzy pol ynomial subring is given. It is shown that this completion is a fuzzy power series subring and that it agrees with the general definition of the completion of a finite-valued fuzzy subring. Structural results a re also given for fuzzy polynomial and power series subrings.