Some classes of preference choice rules for decision-making problems

The topic under discussion is modeling the subject of a decision making system, a decision maker (DM), up to the information, which it relies upon while making a concrete decision, directing towards the purpose before it, i.e., choosing the best possible action. Clearly, the indicated model of a DM substantially depends on the object of decision making, the situation of decision making (SDM), which this DM roughly presents in the form of the so-called situation of decision problem (SDP) through discarding the decisions impossible (or not interesting) for itself as well as impossible (according to its view) consequences from the initial situation, thus obtaining the so-called scheme of the situation of decision problem (SSDP). The interchangeability of the obtained models is studied.