Vincent F. Yu and Ha Thi Xuan Chi
Ranking Fuzzy Numbers Based On EpsilonDeviation Degree
681 - 687
2012
6
6
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/13182
https://publications.waset.org/vol/66
World Academy of Science, Engineering and Technology
Nejad and Mashinchi (2011) proposed a revision for ranking fuzzy numbers based on the areas of the left and the right sides of a fuzzy number. However, this method still has some shortcomings such as lack of discriminative power to rank similar fuzzy numbers and no guarantee the consistency between the ranking of fuzzy numbers and the ranking of their images. To overcome these drawbacks, we propose an epsilondeviation degree method based on the left area and the right area of a fuzzy number, and the concept of the centroid point. The main advantage of the new approach is the development of an innovative index value which can be used to consistently evaluate and rank fuzzy numbers. Numerical examples are presented to illustrate the efficiency and superiority of the proposed method.
Open Science Index 66, 2012