where d is the location of the highest intersection point of the two fuzzy numbers. The operation height (I ∼∩J ∼ ) in Equation (9.3b) is a good separation metric for two fuzzy numbers; that is, the closer this metric is to unity, the more difficult it is to distinguish which of the two fuzzy numbers is larger. On the other hand, as this metric approaches zero, the easier is the distinction about rank order (which is largest). Unfortunately, the metric given in Equation (9.3a) is not too useful as a ranking metric, because T( I ∼≥J ∼ ) =1 when I is