Ivohin E. Methods of the fuzzy multidimensional dynamic systems analysis

This Thesis is dedicated to important problems of applied mathematics, specifically, to research and to create both new methods and algorithms of quality analysis in multidimensional differential and difference systems and methods of formalization and processing fuzzy data in informative and analytical systems. With the use of Lyapunov vector-functions method the multidimensional difference systems are explored with a delay and without it. New presentation of experimental information is offered for situations of decision-making in conditions of vagueness in the form of a concept of component fuzzy sets. The first description of situations is formalized in the systems of precedents. The method of choice of situations similar to set is developed. The method of presenting fuzzy databases is generalized on the bases of subjective fuzzy description. The new structural algorithms of clusterization of fuzzy information and decision-making are developed in situations which, describing the aggregation of information as component fuzzy sets.