Ranking Indices and Rules for Fuzzy Numbers based on Gravity Center Point

Cheng´s paper (1998) proposed the method for ranking of fuzzy numbers by distance index (R₀) and CV index based on the calculation of centroid point (xmacr₀, ymacr₀). But, CV index may be inconsistent with distance index R₀ in some circumstances. This paper proposes ranking of fuzzy numbers by distance index (R_*) and RV index based on gravity center point (xmacr_*, ymacr_*). Furthermore, we build the rules for choosing the main ranking index between distance index (R_*) and RV index. Finally, five numerical examples are presented to illustrate that our proposed ranking indices and rules are able to resolve the inconsistency in Cheng´s paper