x-Cut of a fuzzy subset


Subject: x-Cut of a fuzzy subset
From: mohammed taalabi (mtaalabi@yahoo.fr)
Date: Mon Jun 19 2000 - 15:25:09 MET DST


  Given a fuzzy subset A, defined on the interval
[a,b], what is the x-cut of A? with 0<x<1.
  Is it the fuzzy subset B, deduced from A,by
considering the membership function equal to the
constant x, in the interval [c,d], where c and d are
deduced from the intersection of the membership
function of A, and the horizontal line x?
  

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