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Defuzzification centroid method tutorial ~447~

Defuzzification centroid method tutorial ~447~




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This method is also known as center of gravity or center of area defuzzification. This technique was developed by Sugeno in 1985. This is the most commonly used technique. The only disadvantage of this method is that it is computationally difficult for complex membership functions. The centroid defuzzification technique can be expressed as Defuzzification Fuzzy Systems * Fuzzy Systems Toolbox, M. Beale and H Demuth Example: Defuzzification CENTROID *Fuzzy Logic with Engineering Applications, Timothy J. Ross . 6 Defuzzification method should always result in a unique value, I.e. no ambiguity. Perhaps the most popular defuzzification method is the centroid calculation, which returns the center of area under the curve. There are five built-in methods supported: centroid, bisector, middle of maximum (the average of the maximum value of the output set), largest of maximum, and smallest of maximum. Centroid. Centroid defuzzification returns the center of area under the curve. If you think of the area as a plate of equal density, the centroid is the point along the x axis about which this shape would balance. Centroid. Centroid defuzzification returns the center of area under the curve. If you think of the area as a plate of equal density, the centroid is the point along the x axis about which this shape would balance. Centroid defuzzification method. 2. Centroid method: This procedure (also called center of area or center of gravity) is the most prevalent and physically appealing of all the defuzzification methods (Sugeno, 1985; Lee, 1990); it is given by the algebraic expression where z dz (4.5) uc(z) dz denotes an algebraic integration. Centroid finding which is a quite complicated process with the traditional mathematical equations is facilitated with the image pixels. proposed for the defuzzification method in Type-2 fuzzy logic -0.9 systems and the proposed algorithm was justified with the 0.04 0.05 simulation results Defuzzification ¶ Fuzzy logic ca

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