A Method For Defuzzification Based on Symmetrical Distance and Vicinity

Abstract

In this article, the authors discuss the problem of defuzzification by minimizing the weighted distance between two fuzzy quantities. Also, this
study obtains the nearest point with respect to a fuzzy number and shows that this point is unique relative to the weighted distance. By utilizing
this point, a method is presented for effectively ranking fuzzy numbers and their images to overcome the deficiencies of the previous techniques.
Finally, several numerical examples following the procedure indicate the ranking results to be valid.