ON FUZZY INDEPENDENCE SET SYSTEMS

Authors
NOVAK LA
Citation
La. Novak, ON FUZZY INDEPENDENCE SET SYSTEMS, Fuzzy sets and systems, 91(3), 1997, pp. 365-374
Citations number
3
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
91
Issue
3
Year of publication
1997
Pages
365 - 374
Database
ISI
SICI code
0165-0114(1997)91:3<365:OFISS>2.0.ZU;2-4
Abstract
The concept of fuzzy pre-independence set system and that of fuzzy ind ependence set system are introduced and investigated in this paper. Th e properties ''to be closed'', ''to be perfect'' and ''to be strongly regular'' of a fuzzy independence set system are also considered. Seve ral propositions concerning bases of closed perfect fuzzy independence set systems are presented. An important subclass of perfect fuzzy ind ependence set systems, are fuzzy matroids, introduced by Goetschel and Voxman [Fuzzy Sets and Systems 27 (1988) 291; 31 (1989) 253]. (C) 199 7 Elsevier Science B.V.