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Dear Walter,
Thank you for your comment.
You may know, the equations are not equivalent based on the standard.
Please see the attachment. I was wondering how you could define an LP
problem to obtain the unique solution.
I would be pleased if you could let me know how you deal with that.
Then, I may answer to your question, i.e. "Would your method allow one
to obtain bound which could
not be obtained via linear programming?"
Thank you so much.
On 11/26/16, Walter Mascarenhas <walter.mascarenhas@xxxxxxxxx> wrote:
> Dear Mehran,
>
> For simple cases like the one you mention, the bounds
> you obtain can be obtained easily using linear programming.
> Would your method allow one to obtain bound which could
> not be obtained via linear programming?
>
> The point that bothers me is not that you could get bounds
> in simple contrived examples. As I said above, this can
> be easily done with linear programming.
>
> The point is how you would turn your approach in a tool
> for GENERAL USE. I still believe that you would need to do
> a lot of work in order to have a software that would take
> a GENERAL PROBLEM and obtain bounds to it.
>
> Dealing with particular cases is not, and should not be,
> the purpose of a standard.
>
> Until you present a software able to handle general
> examples, proposed by other people, I believe you
> will not convince many people about your approach.
> In particular, a particular example like the one you
> present if far, far, from showing the power of your approach.
>
>
> regards,
>
> walter.
>
>
>
> On Sat, Nov 26, 2016 at 12:14 PM, Mehran Mazandarani <
> me.mazandarani@xxxxxxxxx> wrote:
>
>> Dear Walter and member of IEEE-stds1788
>> Thank you for your comments.
>> I am waiting for the result of one of my paper in which we
>> investigated the interval computing in the context of fuzzy sets and
>> showed how the approach is able to address the practical cases.
>> Once I receive the final result, the paper will be sent to you.
>> Indeed, I have another approach to deal with interval arithmetic that
>> I'm working on.
>>
>> For the problem sent to the group, you can see the attachment
>> including the proposed approach for obtaining the solution.
>>
>>
>> Best wishes,
>>
>> On 11/25/16, Walter Mascarenhas <walter.mascarenhas@xxxxxxxxx> wrote:
>> > Mehran,
>> >
>> > I insist: unless you present a viable practical alternative
>> > to what is proposed in the standard your arguments will
>> > have little chance of being heard.
>> >
>> > You should also keep in mind that a standard is supposed
>> > to be a MINIMAL set of requirements, not a compilation of
>> > all conceivable alternatives. The more requirements you
>> > make in a standard, the less likely it will ever be implemented.
>> >
>> > In my opinion, the standard is already too complex and
>> > large as it is. Including new versions for the arithmetic operations
>> > would lead to something completely out of reach for the few souls
>> > who have the endurance to turn these abstractions into real software.
>> >
>> > At least for me, practice matters a lot, and I don't see how you
>> > could get a simple practical solution for the problems you pose.
>> >
>> > Of course, I may be wrong (and it would not be the first time), but
>> > I would like to see practical evidence that this is indeed the case.
>> >
>> > My wife is an experimental molecular biologist and she always
>> > tells me: "ideas are cheap, do the experiment". Along the years
>> > I found little reason to disagree with her.
>> >
>> > So, I ask you again: do the experiment and let us know the result.
>> >
>> > walter.
>> >
>> >
>> >
>> >
>> >
>> >
>> > On Fri, Nov 25, 2016 at 7:58 AM, Mehran Mazandarani <
>> > me.mazandarani@xxxxxxxxx> wrote:
>> >
>> >> Dear Walter,
>> >> Thank you for message.
>> >> I wasn't going to turn the presented software by Oliver down, and also
>> >> I have not written a software yet, maybe in the future. But, the key
>> >> point I am going to mention is that whether a researcher could handle
>> >> such a problem based on the IEEE-stds 1788 or not?
>> >> You know, software works based on algorithm and method created by
>> >> human. It also may think and learn based on human's algorithm and
>> >> methods defined for. Then, if we don't have correct method to deal
>> >> with problem, therefore software does not either.
>> >>
>> >> I think we should not only define the standard operators in IEEE-stds
>> >> 1788, but also define the "standard form".
>> >>
>> >> Warmest regards,
>> >>
>> >> On 11/25/16, Walter Mascarenhas <walter.mascarenhas@xxxxxxxxx> wrote:
>> >> > Mehran,
>> >> >
>> >> > How would your software solve this problem?
>> >> >
>> >> > Would your software have the same general
>> >> > purpose as Oliver's, that is, would it work in
>> >> > all possible cases? Would it handle
>> >> > nonlinear functions for instance?
>> >> >
>> >> > Would your software work if you only had
>> >> > information (1) ? If it would then I would
>> >> > like to see it working.
>> >> >
>> >> > What I particularly WOULD NOT like to
>> >> > see is the comparison of a software
>> >> > that exists only on your imagination
>> >> > with real code, which has been
>> >> > tested and used by other people.
>> >> >
>> >> > If you can provide such a software then
>> >> > I believe your contribution would be
>> >> > much appreciated by the community.
>> >> >
>> >> > Until you provide this software your
>> >> > claims will be questionable.
>> >> >
>> >> > So, write it up and let us see the result.
>> >> >
>> >> > Oliver has done such effort and I praise
>> >> > him for that. If you do something similar
>> >> > I will praise you too.
>> >> >
>> >> > walter
>> >> >
>> >> >
>> >> >
>> >> >
>> >> > On Fri, Nov 25, 2016 at 5:35 AM, Mehran Mazandarani <
>> >> > me.mazandarani@xxxxxxxxx> wrote:
>> >> >
>> >> >> Dear Member of IEEE-stds 1788,
>> >> >> I was wondering whether one can obtain a unique solution to the
>> >> >> following naturally equivalent problems based on IEEE-stds 1788 or
>> >> >> not:
>> >> >>
>> >> >> X is unknown; u and v are interval numbers and known
>> >> >>
>> >> >> 1) X-u=v
>> >> >> 2)X-u-v=0;
>> >> >> 3)X-v=u
>> >> >> 4)X=u+v
>> >> >>
>> >> >> solution X=?
>> >> >> Please do mention based on which definition of IEEE-stds 1788 the
>> >> >> presented problem has a unique solution.
>> >> >> Thank you so much for your kind comments in advance.
>> >> >> Warmest regards,
>> >> >> Mehran
>> >> >> --
>> >> >> Mehran Mazandarani
>> >> >> Department of Electrical Engineering
>> >> >> Ferdowsi University of Mashhad, Mashhad, Iran.
>> >> >> homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
>> >> >> IEEE Member, me.mazandarani@xxxxxxxx
>> >> >>
>> >> >
>> >>
>> >>
>> >> --
>> >> Mehran Mazandarani
>> >> Department of Electrical Engineering
>> >> Ferdowsi University of Mashhad, Mashhad, Iran.
>> >> homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
>> >> IEEE Member, me.mazandarani@xxxxxxxx
>> >>
>> >
>>
>>
>> --
>> Mehran Mazandarani
>> Department of Electrical Engineering
>> Ferdowsi University of Mashhad, Mashhad, Iran.
>> homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
>> IEEE Member, me.mazandarani@xxxxxxxx
>>
>
--
Mehran Mazandarani
Department of Electrical Engineering
Ferdowsi University of Mashhad, Mashhad, Iran.
homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
IEEE Member, me.mazandarani@xxxxxxxx