Re: Effects of fuzzifier constant,m, on cluster centers in Fuzzy

From: Stephan Lehmke (Stephan.Lehmke@cs.uni-dortmund.de)
Date: Tue Jun 26 2001 - 03:01:48 MET DST

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    In article <9gst0q$mar$1@fbi-news.cs.uni-dortmund.de>, Stephan Lehmke writes:
    > In article <5.1.0.14.2.20010620121937.00a647e0@mie.utoronto.ca>, Ozge Uncu writes:
    >>
    >> I have a question about the effects of the fuzzifier constant m in Fuzzy
    >> C-Means clustering?
    >>
    >> It is really easy to understand the effects of this constant on membership
    >> values, but I couldn't understand the effects of it on the cluster centers.
    >
    > According to an analysis of the `standard' fuzzy c-means algorithm
    > carried out by a student of mine, the algorithm only finds the cluster
    > centers. The clusters themselves are then calculated from the centers
    > and the value of m.

    I apologize for an incorrect statement. I misremembered the result of
    this investigation. Indeed, the fuzzy sets depend only upon the
    centers and the value of m, but the position of the cluster centers
    calculated by the algorithm _does_ depend on m, contrary to my
    statement above.

    regards
    Stephan

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