ca314159 wrote:
>
> Sidney Thomas wrote:
> >
> > Ellen Hisdal wrote:
> > <snip>
> > > It is shown there that when a subject takes the possibility of the
> > > presence of fuzziness into account, then he realizes that an object
> > > whose height is near the lower threshold for 'tall' may, in the presence
> > > of fuzziness (e.g. errors of measurement; these are one example of fuzziness),
> > > sometimes be labeled `tallī, and sometimes `NOT tall'.
> >
> > I would expect that to be true.
> >
> > > We therefore do not expect the Law of the Excluded Middle to hold
> > > exactly in Fuzzy Set Theory.
> >
> > It can be. The problem of fuzziness and LEM is resolved in my opinion
> > with rules for AND, OR and NOT which yield the following result:
> > There exist x such that both
> >
> > mu[TALL](x) > 0
> >
> > and
> >
> > mu[NOT TALL] > 0,
> >
> > but for _all_ x,
> >
> > mu[TALL AND NOT TALL](x) = 0,
> >
> > and
> >
> > mu[TALL OR NOT TALL](x) = 1.
>
> Is this an exclusive or (xor), xor an inclusive or (ior);
> disjunctive xor conjunctive ?
This would be an inclusive or.
Regards,
S. F. Thomas
############################################################################
This message was posted through the fuzzy mailing list.
(1) To subscribe to this mailing list, send a message body of
"SUB FUZZY-MAIL myFirstName mySurname" to listproc@dbai.tuwien.ac.at
(2) To unsubscribe from this mailing list, send a message body of
"UNSUB FUZZY-MAIL" or "UNSUB FUZZY-MAIL yoursubscription@email.address.com"
to listproc@dbai.tuwien.ac.at
(3) To reach the human who maintains the list, send mail to
fuzzy-owner@dbai.tuwien.ac.at
(4) WWW access and other information on Fuzzy Sets and Logic see
http://www.dbai.tuwien.ac.at/ftp/mlowner/fuzzy-mail.info
(5) WWW archive: http://www.dbai.tuwien.ac.at/marchives/fuzzy-mail/index.html
This archive was generated by hypermail 2b30 : Thu May 31 2001 - 15:50:25 MET DST