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## Copyright (C) 2011-2025 L. Markowsky <lmarkowsky@gmail.com>
##
## This file is part of the fuzzy-logic-toolkit.
##
## The fuzzy-logic-toolkit is free software; you can redistribute it
## and/or modify it under the terms of the GNU General Public License
## as published by the Free Software Foundation; either version 3 of
## the License, or (at your option) any later version.
##
## The fuzzy-logic-toolkit is distributed in the hope that it will be
## useful, but WITHOUT ANY WARRANTY; without even the implied warranty
## of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with the fuzzy-logic-toolkit; see the file COPYING. If not,
## see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{V} =} update_cluster_prototypes (@var{Mu_m}, @var{X}, @var{k})
##
## Update the cluster centers to correspond to the given membership
## function values.
##
## @seealso{fcm, gustafson_kessel, init_cluster_prototypes, update_cluster_membership, compute_cluster_obj_fcn, compute_cluster_convergence}
##
## @end deftypefn
## Author: L. Markowsky
## Keywords: fuzzy-logic-toolkit fuzzy partition clustering
## Directory: fuzzy-logic-toolkit/inst/private/
## Filename: update_cluster_prototypes.m
## Last-Modified: 2 Sep 2012
##----------------------------------------------------------------------
## Note: This function is an implementation of Equation 13.5 in
## Fuzzy Logic: Intelligence, Control and Information, by
## J. Yen and R. Langari, Prentice Hall, 1999, page 380
## (International Edition).
##----------------------------------------------------------------------
function V = update_cluster_prototypes (Mu_m, X, k)
V = Mu_m * X;
sum_Mu_m = sum (Mu_m');
if (prod (sum_Mu_m) == 0)
error ("division by 0 in function update_cluster_prototypes\n");
endif
for i = 1 : k
V(i, :) /= sum_Mu_m(i);
endfor
endfunction
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