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Definition:

Type of relation in terms of reflexivity with respect to an associated collection. A binary relation R on a collection C is:

(i) reflexive, if for all members x of C that are in R it holds that (x,x) is in R;

(ii) anti-reflexive, if there is no member x of C such that (x,x) is in R; and

(iii) neither, if for some but not all members x of C that are in R it holds that (x,x) is in R.

The reflexivity type is given by the controlled vocabulary {reflexive, anti-reflexive, neither, unknown}.

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