Abstract
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 E = 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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