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Dear Walter
Thank you for your support an enthusiastic message. I take your advice.
First of all, I must express that prof. Andrzej Piegat was the first one who elaborated on the idea of multidimensional RDM arithmetic, and I am using it and trying to extend it in some way.
At the moment I extended it to a field of application.
There are some papers published by Andrzej that you may find them in internet, or in the last page of my previous post in which an attachment exists.
What you recommended for the implementation is a good idea, and indeed I have had tgis idea too. But any suggested plan is welcome.
I am in impression that the multidimensional RDM arithmetic will show its efficiency in some area of interval arithmetic. Moreover, I think, the standard 1788 should be prepared in some way that can be used in the future as a base for presenting other standards.
One of them which is very and very interesting is the "IEEE Standard-xxx " for "Fuzzy Interval Arithmetic".
Best wishes,
Mehran.
"Sent from mobile device"
P.S. Please see the corrected file IC-2[corrected version]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?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.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)"Dear Vladik, George, John,Svetoslav,Evgenija,Vincent, and other membersFirst of all, thank you for your very kind attention and valuable comments.
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.I appreciate your kind attention and consideration.Warmest regards,Mehran Mazandarani
Department of Electrical Engineering
Ferdowsi University of Mashhad, Mashhad, Iran.
homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
http://works.bepress.com/mehran_mazandarani
IEEE Member, me.mazandarani@xxxxxxxx