Abstract

The relevance of the topic, goals and objectives of research are substantiated in this publication, the review of previous publications is made. The main part considers the components of the modeling apparatus, which include: conceptual apparatus, axioms of the wave model of C-space, which describe its objects, states, operations, interactions and measurements, means of description, means of verification, theory of self-organization of C-space, means display of scenarios and parameters of self-organization. Within the framework of this paradigm, 10 directions of research have been formulated, where the use of such an apparatus is expedient, namely: creation of an axiomatic model of C - space; development of the theory of self-organization of creation of methods of modeling and optimization of difficult open systems; modeling and optimization of organizational and technological systems; development of tools for describing complex systems and their use for the study of natural languages ​​and symbolic systems; modeling and optimization of human-envitonment systems; modeling of human interactions with the environment; development and implementation of the concept of a comfortable environment; modeling the dignity of human consciousness and behavior in different eras; modeling of evolution, human life cycle and processes beyond death. For each of these areas the theoretical preconditions and initial data, characteristics and needs of the target consumer are given. Models, scenarios of self-organization, optimization methods, specific tasks are considered. Examples and evaluation methods are given for some areas. Also, for all areas, a summary is given, which contains the results and options for continuing the study, the main publications of the author. The conclusions assess the theoretical and practical significance of each of the areas of research, as well as the results obtained. Prospects for further research are identified. Keywords: complex open system, C-space wave model, theory of self-organization, modeling and multicriteria optimization.

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