* Re: Fuzzy categories
@ 2006-01-23 13:54 Robert J. MacG. Dawson
2006-01-24 16:54 ` Graham White
0 siblings, 1 reply; 3+ messages in thread
From: Robert J. MacG. Dawson @ 2006-01-23 13:54 UTC (permalink / raw)
To: Categories List
Steve Stevenson wrote:
> This seems like a natural idea. But the American Math Soc web site
> has no listings. What is a fundamental reference?
Kelly's "Basic Concepts of Enriched Category Theory"
http://www.tac.mta.ca/tac/reprints/articles/10/tr10.pdf
Of course, the term "fuzzy categories" is never actually used there.
(You can put the stockwhip down now, Max!) Moreover, it is not clear to
me that "fuzzification" in its usual cottage-industry sense would be
seen by many categorists as the right level of generality. But if you
wanted to do it for some reason, that's probably where to start.
-Robert Dawson
^ permalink raw reply [flat|nested] 3+ messages in thread
* Re: Fuzzy categories
2006-01-23 13:54 Fuzzy categories Robert J. MacG. Dawson
@ 2006-01-24 16:54 ` Graham White
0 siblings, 0 replies; 3+ messages in thread
From: Graham White @ 2006-01-24 16:54 UTC (permalink / raw)
To: Categories
On Mon, 2006-01-23 at 09:54 -0400, Robert J. MacG. Dawson wrote:
> Steve Stevenson wrote:
> > This seems like a natural idea. But the American Math Soc web site
> > has no listings. What is a fundamental reference?
>
> Kelly's "Basic Concepts of Enriched Category Theory"
>
> http://www.tac.mta.ca/tac/reprints/articles/10/tr10.pdf
>
> Of course, the term "fuzzy categories" is never actually used there.
> (You can put the stockwhip down now, Max!) Moreover, it is not clear to
> me that "fuzzification" in its usual cottage-industry sense would be
> seen by many categorists as the right level of generality. But if you
> wanted to do it for some reason, that's probably where to start.
>
> -Robert Dawson
There has been quite a lot of work on fuzzy sets and topos
theory: a Google search for "fuzzy sets topos", or
"fuzzy logic topos", will turn up quite a lot of it.
I find it a bit surprising that there is so much
work, given the sociological characteristics of the
communities involved. But it's there anyway.
Graham White
^ permalink raw reply [flat|nested] 3+ messages in thread
* Fuzzy categories
@ 2006-01-19 18:00 Steve Stevenson
0 siblings, 0 replies; 3+ messages in thread
From: Steve Stevenson @ 2006-01-19 18:00 UTC (permalink / raw)
To: Categories List
This seems like a natural idea. But the American Math Soc web site
has no listings. What is a fundamental reference?
--
steve
steve@cs.clemson.edu
^ permalink raw reply [flat|nested] 3+ messages in thread
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2006-01-19 18:00 Steve Stevenson
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