Bezdek or Ruspini partition

Veronique Lacrose (
Wed, 1 May 1996 16:17:20 +0200


I have a little problem concerning the definition of
a fuzzy partition where the membership functions (mbf)
intersect for a 0.5 membership value.
In other words, the maximum of a mbf corresponds to the
minimum of the adjacent ones, that means that the sum of
the activation degrees of the rules is always equal to 1.

Well, as far as I know, it is a Bezdek partition. However, in a
recent workshop, someone told me it was a Ruspini one and
ask me the reference of this definition. I have read this
terminology in many articles but I can't find the sources
of this definition.

So, if you have any informations on this partition,
it would help me ?!

I am also interested in multidimensionnal fuzzy sets,
so if you know articles on the subject, please contact me.

Thank you in advances,

V. Lacrose.