> I have an Integer field which carries a value between 0 to
> 18.
> 
> Ist there a way to query this field fuzzy? For example
> search for field:5
> and also match documents near it (like documents containing
> field:4 oder
> field:6)?
> 
> And if this is possible, is it also possible to boost exact
> matches and
> lower the boost for the fuzzy matches?
> 

Yes it is possible with query manipulation. 

If you are using lucene query parser,  q=+field:{4 TO 6} field:5^10 
if you are using edismax query parser q=field:{4 TO 6}&bq=field:5^10 

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