Dear Vladik, George, John,Svetoslav,Evgenija,Vincent, and other members
First of all, thank you for your very kind attention and valuable comments.
George wrote that "
To exploit context knowledge of the _expression_ in which “-“ appears requires MUCH more sophisticated machinery,..." and "
The subtraction operator sees SUBTRACT(X, Y)"
Let
me don't agree with you, because the subtraction operator can also see
SUBTRACT (X,Y,K), K=0,1. K=0 means X and Y are of the same source,
otherwise they are of the different source.
About the
inner operations
and using them, I would like to bring to your attention some issues.
Although the inner subtraction and addition operations possess some
advantages, they have themselves a few shortcomings. The shortcomings
can be termed as
Restoration issue and
Self-Reduction issue.
Please see the attachment. As you can see, the Self-Reduction is a
major issue of inner addition. Consider the interval [1 4] and try to
add it to
itself using inner addition, what do you see?
You see the result as [1 4] {+} [1 4]=5, where {+} - assume - means inner addition.
What
the result means is that the uncertainty vanishes. That is actually
odd!!. For more clarification see the example of a Box and forces in the
attachment.
Additionally, Indeed, I subscribe to
Vincent's view.