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.
ANDness is the degree to which an operator is close to the MIN(AND) operation and Orness is the degree to which an operator is close to the MAX(OR) operation.
ANDness and ORness are complimentary to each other and their sum yields a value of 1.