This is a very good question, and I do not knwo if anyone has done that, I am
sending this message to the interval and fuzzy mailing lists hopefully you will
get some references. If no one has done that - it is a great idea to pursue!
> Date: Tue, 16 Jan 2001 12:08:56 +0100 (MET)
> From: Chris Cornelis <Chris.Cornelis@rug.ac.be>
> To: email@example.com
> Subject: intuitionistic fuzzy sets
> MIME-Version: 1.0
> Dear Vladik,
> I am writing you about an e-mail that you sent to the fuzzy mailing
> list on 7 May 1999 and that I found on the archive page. Your mail was a
> clarifying note on intuitionistic fuzzy sets. In it, you write that when
> we do not know anything about whether x has property B or not, we should
> put mB(x)=0 and m(not B)x=0 (with B an intuitionistic fuzzy set).
> On the other hand, in possibility theory, B(x) = 1 means: x is B is
> completely possible. As evidence against "x is B" is obtained, B(x) will
> decrease, but if we know nothing about the statement we assume by default
> B(x) = 1. My question is: does there exist something like intuitionistic
> possibility theory, and how could we represent 'unknown' in this
> Thanks for your help!
> Chris Cornelis e-mail : Chris.Cornelis@rug.ac.be
> Fund for Scientific Research-Flanders
> Fuzziness and Uncertainty Modelling Research Unit
> Department of Applied Mathematics and Computer Science
> Ghent University
> Krijgslaan 281 (S9) tel. : +32 (0)9/264.47.72
> B-9000 Ghent (Belgium) fax. : +32 (0)9/264.49.95
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