A FUZZY R1 SEPARATION AXIOM

Citation
A. Kandil et al., A FUZZY R1 SEPARATION AXIOM, Information sciences, 79(3-4), 1994, pp. 293-313
Citations number
31
Categorie Soggetti
Information Science & Library Science","Computer Science Information Systems
Journal title
ISSN journal
00200255
Volume
79
Issue
3-4
Year of publication
1994
Pages
293 - 313
Database
ISI
SICI code
0020-0255(1994)79:3-4<293:AFRSA>2.0.ZU;2-K
Abstract
We introduce a new R1 separation axiom for fuzzy topological spaces. W e identify, from the literature, which lower fuzzy separation axioms a re compatible with our R1 axiom. We provide alternative descriptions f or this R1 axiom in the special setting of fuzzy neighborhood spaces. This special case has standard higher fuzzy separation axioms. In it, we establish aspects of compatibility of our R1 axiom with those highe r separation axioms, as well as with fuzzy compactness.