[FOM] Fuzziness

[Arnon Avron]

Available are  now three volumes of the Handbook of Mathematical Fuzzy Logic
(edited by Petr Cintula, Petr Hájek and Carles Noguea). Especially
the first two chapters of Vol. 1 provide a very good, up to date,
introduction to mathematical fuzzy logic.

  An older (but still very good) introduction to this field
is the monograph "Metamathematics of Fuzzy Logic" by Petr Hájk.

Arnon Avron


On Tue, Jun 21, 2016 at 09:07:18PM -0400, Harvey Friedman wrote:
> On Tue, Jun 21, 2016 at 4:21 PM, Kreinovich, Vladik <vladik at utep.edu> wrote:
> > There is a whole direction led by Dr. Scott Dick, google "complex-valued
> > fuzzy logic" and you will find many links to related papers, there are
> > regular sessions at fuzzy conferences on this topic. You may want to ask
> > such questions to fuzzy mailing lists instead of Foundations of Math one
> >
> 
> Except that the very idea of doing "fuzzy logic" is deeply
> foundational, and it could be of great interest for the FOM to see a
> modern account of the basics of fuzzy logic and fuzzy mathematics and
> fuzziness from the ground up. it would seem likely that f.o.m. people
> who have not been informed much about it would have something
> interesting and/or useful to say about it.
> 
> Also, how does it relate to recent breakthroughs in machine learning,
> deep leaning, etcetera?
> 
> Harvey Friedman
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