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COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES |
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| 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 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). |
| Keywords: | L-UNIFORM SPACE L-UNIFORM CONVERGENCE SPACE L-CONVERGENCE SPACE FUNCTION SPACES |