Original Articles

COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES

Published in: Quaestiones Mathematicae
Volume 14 , issue 1 , 1991 , pages: 11–31

DOI: 10.1080/16073606.1991.9631620

Author(s): A.K. Katsaras Department of Mathematics, Greece

Abstract

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 space É = 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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