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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{firing_strength} =} eval_firing_strength (@var{fis}, @var{rule_input})
##
## Return the firing strength for each FIS rule given a matrix of matching
## degrees for each (rule, rule_input) pair.
##
## The second argument (@var{rule_input}) gives the fuzzified input values to
## the FIS rules as a Q x N matrix:
##
## @verbatim
## in_1 in_2 ... in_N
## rule_1 [[mu_11 mu_12 ... mu_1N]
## rule_2 [mu_21 mu_22 ... mu_2N]
## [ ... ]
## rule_Q [mu_Q1 mu_Q2 ... mu_QN]]
## @end verbatim
##
## where Q is the number of rules and N is the number of FIS input variables.
##
## For i = 1 .. Q, the fuzzy antecedent, connection, and weight for rule i
## are given by:
## @itemize @bullet
## @item
## @var{fis.rule(i).antecedent}
## @item
## @var{fis.rule(i).connection}
## @item
## @var{fis.rule(i).weight}
## @end itemize
##
## The output is a row vector of length Q.
##
## Because eval_firing_strength is called only by the private function
## evalfis_private, it does no error checking of the argument values.
##
## @end deftypefn
## Author: L. Markowsky
## Keywords: fuzzy-logic-toolkit fuzzy inference system fis
## Directory: fuzzy-logic-toolkit/inst/private/
## Filename: eval_firing_strength.m
## Last-Modified: 13 Jun 2024
function firing_strength = eval_firing_strength (fis, rule_input)
num_rules = columns (fis.rule); ## num_rules == Q (above)
num_inputs = columns (fis.input); ## num_inputs == N
## Initialize output matrix to prevent inefficient resizing.
firing_strength = zeros (1, num_rules);
## For each rule
## 1. Apply connection to find matching degree of the antecedent.
## 2. Multiply by weight of the rule to find degree of the rule.
for i = 1 : num_rules
rule = fis.rule(i);
## Collect mu values for all input variables in the antecedent.
antecedent_mus = [];
for j = 1 : num_inputs
if (rule.antecedent(j) != 0)
mu = rule_input(i, j);
antecedent_mus = [antecedent_mus mu];
endif
endfor
## Compute matching degree of the rule.
if (rule.connection == 1)
connect = fis.andMethod;
else
connect = fis.orMethod;
endif
switch (connect)
case 'min'
firing_strength(i) = rule.weight * ...
min (antecedent_mus);
case 'max'
firing_strength(i) = rule.weight * ...
max (antecedent_mus);
case 'prod'
firing_strength(i) = rule.weight * ...
prod (antecedent_mus);
case 'sum'
firing_strength(i) = rule.weight * ...
sum (antecedent_mus);
case 'algebraic_product'
firing_strength(i) = rule.weight * ...
prod (antecedent_mus);
case 'algebraic_sum'
firing_strength(i) = rule.weight * ...
algebraic_sum (antecedent_mus);
case 'bounded_difference'
firing_strength(i) = rule.weight * ...
bounded_difference (antecedent_mus);
case 'bounded_sum'
firing_strength(i) = rule.weight * ...
bounded_sum (antecedent_mus);
case 'einstein_product'
firing_strength(i) = rule.weight * ...
einstein_product (antecedent_mus);
case 'einstein_sum'
firing_strength(i) = rule.weight * ...
einstein_sum (antecedent_mus);
case 'hamacher_product'
firing_strength(i) = rule.weight * ...
hamacher_product (antecedent_mus);
case 'hamacher_sum'
firing_strength(i) = rule.weight * ...
hamacher_sum (antecedent_mus);
case 'drastic_product'
firing_strength(i) = rule.weight * ...
drastic_product (antecedent_mus);
case 'drastic_sum'
firing_strength(i) = rule.weight * ...
drastic_sum (antecedent_mus);
otherwise
firing_strength(i) = rule.weight * ...
str2func (connect) (antecedent_mus);
endswitch
endfor
endfunction
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