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Defuzzification




A useful defuzzification technique must first add the results of the rules together in some way. The most typical fuzzy set membership function has the graph of a Triangle . Now, if this triangle were to be cut in a straight horizontal line somewhere between the top and the bottom, and the top portion were to be removed, the remaining portion forms a Trapezoid . The first step of defuzzification typically "chops off" parts of the graphs to form trapezoids (or other shapes if the initial shapes were not triangles). For example, if the output has "Decrease Pressure (15%)", then this triangle will be cut 15% the way up from the bottom. In the most common technique, all of these trapezoids are then superimposed one upon another, forming a single Geometric Shape . Then, the Centroid of this shape, called the ''fuzzy centroid'', is calculated. The ''x'' coordinate of the centroid is the defuzzified value.


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