Center of Mass and its Applications in Ranking

Document Type: Research Paper


Department of Mathematics, Ardabil branch, Islamic Azad University, Ardabil, Iran


In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described. At last, we present some numerical examples to illustrate the proposed method, and compare it with other ranking methods.