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A toolkit for fuzzy logic, this library includes functions for creating fuzzy variables, sets, rules to create a Fuzzy Logic System (FLS).

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flex test variable_test.exs
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test/variable_test.exs

defmodule VariableTest do
use ExUnit.Case
alias Flex.{Variable, Set}
doctest Flex
test "fuzzification test" do
t_h = Set.new(tag: "too hot", mf_type: "saturation", mf_params: [-2, 0, 4])
j_r = Set.new(tag: "just right", mf_type: "triangle", mf_params: [-2, 0, 2])
t_c = Set.new(tag: "too cold", mf_type: "shoulder", mf_params: [0, 2, 4])
fuzzy_sets = [t_h, j_r, t_c]
error = Variable.new(tag: "error", fuzzy_sets: fuzzy_sets, type: :antecedent, range: 1..2)
n_error = Variable.fuzzification(error, -1)
assert n_error.mf_values["just right"] == 0.5
assert n_error.mf_values["too cold"] == 0
assert n_error.mf_values["too hot"] == 0.5
end
test "fuzzification only for antecedent variable" do
t_h = Set.new(tag: "too hot", mf_type: "saturation", mf_params: [-2, 0, 4])
j_r = Set.new(tag: "just right", mf_type: "triangle", mf_params: [-2, 0, 2])
t_c = Set.new(tag: "too cold", mf_type: "shoulder", mf_params: [0, 2, 4])
fuzzy_sets = [t_h, j_r, t_c]
error = Variable.new(tag: "error", fuzzy_sets: fuzzy_sets, type: :consequent, range: 1..2)
n_error = Variable.fuzzification(error, -1)
assert n_error == :error
end
test "defuzzification test" do
t_h = Set.new(tag: "too hot", mf_type: "saturation", mf_params: [-50, 0, -100])
j_r = Set.new(tag: "just right", mf_type: "triangle", mf_params: [-50, 0, 50])
t_c = Set.new(tag: "too cold", mf_type: "shoulder", mf_params: [0, 50, 100])
fuzzy_sets = [t_h, j_r, t_c]
error =
Variable.new(tag: "error", fuzzy_sets: fuzzy_sets, type: :consequent, range: -100..100)
error = %{error | tmp: [0.866, 0.5, 0]}
output = Variable.defuzzification(error)
assert Float.floor(output, 1) == -63.4
end
end