Ranking L-R Fuzzy Numbers with Weighted Averaging Based on Levels

In this paper, the researcher proposes a modied new method to rank l-r fuzzy numbers.the modied method uses a defuzzication of parametrically represented fuzzy numbersthat have been studied in [20]. this parameterized defuzzication can be used as a crispapproximation with respect to a fuzzy quantity. in this article, the researcher uses thisdefuzzication for ordering fuzzy numbers. the modied method can eectively rankvarious fuzzy numbers and their images and overcome the shortcomings of the previoustechniques. this study also uses some comparative examples to illustrate the advantagesof the proposed method.