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

In this paper, the researcher proposes a modified new method to rank L-R fuzzy numbers. The modified method uses a defuzziffcation of parametrically represented fuzzy numbers that have been studied in [20]. This parameterized defuzzification can be used as a crisp approximation with respect to a fuzzy quantity. In this article, the researcher uses this defuzzification for ordering fuzzy numbers. The modified method can effectively rank various fuzzy numbers and their images and overcome the shortcomings of the previous techniques. This study also uses some comparative examples to illustrate the advantages of the proposed method