The three measures, which characterize the nature of OWA operators w.r.t. their position between AND and OR, can be calculated as follows:
ANDness(w) = [(1/(n-1)) (Σr(n - r)wr)]
ORness(w) = 1 – ANDness
TRADE-OFF(w) = 1 – [(n Σr(wr – 1/n)2) / (n - 1)]0.5
where n = number of criteria,
r = order of criteria, and
wr = weight for the criterion of the rth order.