An empty triplex value
for
is defined as a degenerate case where all components are undefined or
null:
![- -
T ={[x,x,x]| x =x =x =∅}= ∅.](StabNumRef_PG161x.png)
This represents the absence of a valid triplex value, analogous to the empty set in interval arithmetic.
In computational implementations, the empty triplex is typically represented using qNaN (Quiet-Not-a-Number) values. Any arithmetic operation involving a qNaN will propagate the qNaN, ensuring that invalid or undefined operations do not yield misleading results.