Introduction to Dynamic Operators: Lprt-Elements and Applications to Physics and Other their Applications

Abstract

Oleksandr Danilishyn, Illia Danilishyn and Volodymyr Pasynkov

There is a need to develop an instrumental mathematical base for new technologies. The task of the work is to create new approaches for this by 2 introducing new concepts and methods. Significance of the article: in a new qualitatively different approach to the study of complex processes through new mathematical, hierarchical, dynamic structures, fuzzy hierarchical dynamic structures, in particular those processes that are dealt with by Synergetics. In the articles [1]-[14] new mathematical structures and operators are constructed through one action - “containment”. Here, the construction of new mathematical structures and operators is carried out with generalization to any actions. In the articles [1]- [14] new mathematical structures and operators are constructed through one action - “containment”. Here, the construction of new mathematical structures and operators is carried out with generalization to any fuzzy actions.

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