Re: Calculating with imprecise values
- Posted by Juergen Luethje <j.lue at gmx.de> Dec 14, 2005
- 619 views
Matt Lewis wrote: > Juergen Luethje wrote: > > > > Matt Lewis wrote: > > > > <snip> > > > > > It sounds like fuzzy numbers and fuzzy arithmetic. I've thought about > > > writing something to do this, but haven't yet... > > > > I'm not sure whether I understand the meaning of the expressions "fuzzy > > numbers" and "fuzzy arithmetic" correctly.> > I do not mean what is called "Fuzzy Logic" (according to Lotfi Zadeh and > > others) -- although I considers that very useful.
> > > > What I mean ATM is something that I think has got to do with "error > > propagation". Please see my reply to "jxliv7" for details. > > I think that Fuzzy numbers and arithmetic could be used for this, > although it could be overkill. Here are a couple of so-so links to > get you started: > > <a > href="http://whatis.techtarget.com/definition/0,,sid9_gci283979,00.html">http://whatis.techtarget.com/definition/0,,sid9_gci283979,00.html</a> > > Mathematica documentation on fuzzy arithmetic, which gives some > visuals that might help: > <a > href="http://documents.wolfram.com/applications/fuzzylogic/Manual/9.html">http://documents.wolfram.com/applications/fuzzylogic/Manual/9.html</a> > > > If you have good tolerance for reading math, this looks like a good > paper that covers the basics, and has other interesting stuff: > > <a > href="http://www.nist.gov/msidlibrary/doc/pfn-fss.pdf">http://www.nist.gov/msidlibrary/doc/pfn-fss.pdf</a> Very interesting, thank you! If I were able to write an Eu library for Fuzzy Arithmetic, I probably could/would/should ask my boss tommorrow to double my salary.
Regards, Juergen