Defuzzification As Crisp Decision Under Fuzzy Constraints — New Aspects of Theory and Improved Defuzzification Algorithms
Thomas A. Runkler, Manfred Glesner · 1994
Although defuzzification is an essential functional part of all fuzzy systems, it is not firmly embedded in fuzzy theory yet. Proceeding from fuzzy decision theory we define defuzzification as crisp decision under fuzzy constraints and achieve a new theoretical foundation of the defuzzification process. From these theoretical considerations we develop a new class of lucidly customizable defuzzification procedures (constrained decision defuzzification CDD ). We develop powerful examples of CDD customization and show that CDD is superior to the standard defuzzification algorithms center of gravity and mean of maxima, represented by the parametric basic defuzzification distribution (BADD) , concerning static, dynamic and statistical properties.