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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
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