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Background:Cumulative prospect theory(CPT) has shown a tendency of decision makers to overweight small probabilities(i.e.,w(p) > p) and to underweight moderate and large probabilities(i.e.,w(p) < p),which graphically modeled by an inverse S-shaped probability weighting function(w+(p) = pr/(pr+(1-p)r)1/r;w-(p) = p δ/(pδ+(1-p)δ)1/δ).