Abstract
This paper considers conceptual mathematical issues related to comparing the estimation of the effectiveness of countermeasures to be applied at different stages of a radiation incident. The countermeasures are described by a vector of attributes whose coordinates are random values. They are compared by integration of a combined distribution function, the core being a value function (VF). This function is reconstructed at a preliminary stage of registering expert preferences which are relative attribute weights specified for some points. At the same stage the collective compatibility of preferences and their extension to whole space of possible attributes is tested. The result of comparison of strategies is not just an evaluation 'better-worse', but also saying 'to what extent' and uncertainty of this estimate. Two kinds of estimate can be made: dimensionless estimates allowing for a contour surface of VF, and those having the dimension of any attribute providing for the values of VF.
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