Ranking of generalized fuzzy numbers using similarity measure

In this paper, first of all the distance measure entitled generalized Hausdorff distance is defined between two trapezoidal generalized fuzzy numbers (TGFNs) that has been introduced by Chen []. Then using a other distance and combining with generalized Hausdorff distance, the similarity measure is defined. The basic properties of the above mentioned similarity measure are proved in detail. Finally the concept is illustrated by solving several testing examples. Finally we rank two generalized fuzzy numbers using the similarity measure between them.