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The term "fuzzy" as in fuzzy logic has the unfortunate connotations in
natural language of being vague or poorly defined. That is not at all
the case.
Fuzzy logic is well defined and is a practical means of modelling
situations in which measurements are imprecise and rules involve
statistical uncertainties. MOST things in the real world are like
that.
It is the domains on which fuzzy mathematics operates that are
inherently fuzzy. There is nothing fuzzy about the concepts of the
mathematics itself.
Fuzzy math is being utilized in the real world all the time for
applications ranging from washing-machine cycle controllers to
stoplight-synchronization optimizers. I have read that the Japanese
are ahead of the U.S. in utilizing fuzzy math for real-world
applications.
Fuzzy mathematics is FAR from being still-born or given short shrift.
Glenn Lieding
Profile: http://www.blogger.com/profile/33103625
Blog: metainformation.blogspot.com/">http://metainformation.blogspot.com/
Bill Taylor wrote:
...
> Some time ago, back in the late seventies to early eighties,
> there was a brief flurry of interest from fringe mathematicians
> in "fuzzy math". It was never quite clear what this was, but it
> still has a small amount of library shelf space, though perhaps
> little or no presence in math departments in academia.
> It seemed to be (AFAICT), basically, that joke that
> used to go around about "Generalized Mathematics" -
>
> * "In Orthodox math we derive true results by valid means;
> * in Generalized math both these restrictions are dropped!"
>
> Anyway, one can hardly say that Fuzzy math even died -
> it was practically still-born... math departments
> gave it very short shrift.
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