COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES
作者:
A.K. Katsaras,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1991)
卷期:
Volume 14,
issue 1
页码: 11-31
ISSN:1607-3606
年代: 1991
DOI:10.1080/16073606.1991.9631620
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Some of the problems related to the completeness in linear fuzzy neighborhood spaces are investigated. It is shown that if (E, N) is a linear fuzzy neighborhood space, then the spaceÉ = M(E)of all minimal hyper-Cauchy prefilters on (E, N), equipped with a certain linear fuzzy neighborhood structure N, is the unique, up to isomorphism, ultracompletion of (E, N).
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