Ranking of fuzzy numbers based on angle measure

Document Type: Research Paper


Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas , Iran.


In this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. Several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(CMPs) and then, the angels between the CMPs and the horizontal axis is calculated. The total angle is determined by averaging the computed angles and finally, the novel method is compared with other methods by solving some numerical examples