Centroids Beyond Defuzzification

AbstractIn general, expert rules expressed by imprecise (fuzzy) words of natural language like “small” lead to control recommendations. If we want design an automatic controller, need, based on these fuzzy recommendations, generate a single value. A procedure for such generation is known as defuzzification. The most widely used defuzzification centroid defuzzification, in which, the desired value, use one coordinates center mass (“centroid”) appropriate 2-D set. question is: what meaning second coordinate this mass? In paper, show that describes overall measure fuzziness resulting recommendation.