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<title>Octave Fuzzy Logic Toolkit: evalmf</title>
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Evaluation
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Function Reference: <b><code>evalmf</code></b>
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<dl>
<dt><u>Function File:</u> <var>y</var> = <b>evalmf</b><i> (<var>x</var>, <var>param</var>, <var>mf_type</var>)</i></dt>
<dt><u>Function File:</u> <var>y</var> = <b>evalmf</b><i> (<var>x</var>, <var>param</var>, <var>mf_type</var>, <var>hedge</var>)</i></dt>
<dt><u>Function File:</u> <var>y</var> = <b>evalmf</b><i> (<var>x</var>, <var>param</var>, <var>mf_type</var>, <var>hedge</var>, <var>not_flag</var>)</i></dt>
<dt><u>Function File:</u> <var>y</var> = <b>evalmf</b><i> (<var>[x1 x2 ... xn]</var>, <var>[param1 ... ]</var>, <var>mf_type</var>)</i></dt>
<dt><u>Function File:</u> <var>y</var> = <b>evalmf</b><i> (<var>[x1 x2 ... xn]</var>, <var>[param1 ... ]</var>, <var>mf_type</var>, <var>hedge</var>)</i></dt>
<dt><u>Function File:</u> <var>y</var> = <b>evalmf</b><i> (<var>[x1 x2 ... xn]</var>, <var>[param1 ... ]</var>, <var>mf_type</var>, <var>hedge</var>, <var>not_flag</var>)</i></dt>
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<p> For a given domain, set of parameters, membership function type, and
optional hedge and not_flag, return the corresponding y-values for the
membership function.
</p>
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<p> The argument <var>x</var> must be a real number or a non-empty list of strictly
increasing real numbers, <var>param</var> must be a valid parameter or a vector
of valid parameters for <var>mf_type</var>, and <var>mf_type</var> must be a string
corresponding to a membership function type. Evalmf handles both built-in and
custom membership functions.
</p>
<p> For custom hedges and the four built-in hedges "somewhat", "very",
"extremely", and "very very", raise the membership function values to
the power corresponding to the hedge.
</p>
<pre class="verbatim"> (fraction == .05) <=> somewhat x <=> mu(x)^0.5 <=> sqrt(mu(x))
(fraction == .20) <=> very x <=> mu(x)^2 <=> sqr(mu(x))
(fraction == .30) <=> extremely x <=> mu(x)^3 <=> cube(mu(x))
(fraction == .40) <=> very very x <=> mu(x)^4
(fraction == .dd) <=> <custom hedge> x <=> mu(x)^(dd/10)
</pre>
<p> The <var>not_flag</var> negates the membership function using:
</p>
<pre class="verbatim"> mu(not(x)) = 1 - mu(x)
</pre>
<p> To run the demonstration code, type "<tt>demo evalmf</tt>" (without the quotation
marks) at the Octave prompt.
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Example: 1
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<td> </td>
<td><pre class="example">
x = 0:100;
params = [25 50 75];
mf_type = 'trimf';
y = evalmf(x, params, mf_type);
figure('NumberTitle', 'off', 'Name', "evalmf(0:100, [25 50 75], 'trimf')");
plot(x, y, 'LineWidth', 2)
ylim([-0.1 1.1]);
xlabel('Crisp Input Value', 'FontWeight', 'bold');
ylabel('Degree of Membership', 'FontWeight', 'bold');
grid;
</pre></td></tr></tbody>
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