Fixed point theorem for defuzzification and its application in decision making units.

In this article the author discusses the problem of defuzzification by minimizing the weighted distance between the two fuzzy quantities. Also, this study obtains the nearest point with respect to a fuzzy number showing that this point is unique and relative to the weighted distance. Through applying this point, this method is presented for effectively ranking of the fuzzy numbers and their images to deal with and overcome the deficiencies of the previous techniques. Finally, several numerical examples following the procedure indicate the ranking results are valid. [ABSTRACT FROM AUTHOR]