A Method for Defuzzification by Weighted Distance

Fuzzy systems have gained more and more attention from researchers and practitioners ofvarious elds. In such systems, the output represented by a fuzzy set sometimes needs to be transformed into a scalar value, and this task is known as the defuzzication process.Several analytic methods have been proposed for this problem, but in this paper, theresearcher suggests a new approach to the problem of defuzzication using the weightedmetric (weighted distance) between two fuzzy numbers. In this study some preliminaryresults on properties of such defuzzication will be reported.