Re: Thomas' Fuzziness and Probability

From: Joe Pfeiffer (pfeiffer@cs.nmsu.edu)
Date: Tue Jul 31 2001 - 20:03:58 MET DST

  • Next message: S. F. Thomas: "Re: Thomas' Fuzziness and Probability"

    Stephan.Lehmke@cs.uni-dortmund.de (Stephan Lehmke) writes:
    > >
    > > He attempts to define the membership function of a set by using
    > > what he calls ``calibrational propositions'' -- the idea is that if
    > > you ask 70 people if John is tall, and 70 of them say ``yes,''
    then

    Of course, I meant ``ask 100 people'' as somebody else pointed out.
    The keyboard gremlins got in...

    > > mu(tall) = .7. While this seems to do a good job of capturing common
    > > word usage, it's not at all clear to me that it captures the fuzzy
    > > behavior of the ``tall'' set; it seems probabilistic rather than
    > > fuzzy.
    > >
    > > So, what are other people's reactions?
    <snip>>
    > While nobody in their right mind would say that an orange is `red', I
    > bet a lot of people would agree it's at least `somewhat red'. So while
    > the probability that an orange would be called `red' might be zero,
    > I'd give it a non-zero membership degree in the in the fuzzy set of
    > red objects.
    >
    > For empirically finding a membership degree, I'd rather have people
    > mark the `degree of tallness' on a continuous scale between `tall' and
    > `not tall at all' and take the average.

    Thanks. I'm coming into this from other fields, and wanted to make
    sure I wasn't misreading, and that others had the same queasy feeling
    I did.

    > See also the paper
    >
    > @ARTICLE{Zimmermann/Zysno80,
    > language = "USenglish",
    > author = "H.-J. Zimmermann and P. Zysno",
    > title = "Latent connectives in human decision making",
    > journal = FSS,
    > year = 1980,
    > volume = 4,
    > pages = "37-51"}

    Sorry, I'm not familiar with the journal. What's FSS?

    Thanks,

    -- 
    Joseph J. Pfeiffer, Jr., Ph.D.       Phone -- (505) 646-1605
    Department of Computer Science       FAX   -- (505) 646-1002
    New Mexico State University          http://www.cs.nmsu.edu/~pfeiffer
    SWNMRSEF:  http://www.nmsu.edu/~scifair
    

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