From ambiguity properties positions the thesis is devoted to solution of information processing problem under conditions of natural or artificial multivalence, namely, application of point-to-set methods. In theoretical aspect the unified research tools of information processing and subject interpretation have been developed under conditions of various multivalences. The thesis outcomes ensure synthesis point-to-set methods with demanded level of generalization and abstracting or, on the contrary, differentiations and concrete definitions. From the practical point of view prerequisites for rational projecting of hardware-software, development of decision making support environment for man-machine systems have been created when detailing degree, data amount and processing time are the critical factors.
