Journal "Software Engineering"
a journal on theoretical and applied science and technology
ISSN 2220-3397

Issue N3 2021 year

DOI: 10.17587/prin.12.157-168
Core Invariants of the Mathematical Model of an Intelligent System
K. I. Kostenko, kostenko@kubsu.ru, Kuban State University, Krasnodar, 350040, Russian Federation
Corresponding author: Kostenko Konstantin I., Associate Professor, kostenko@kubsu.ru, Kuban State University, Krasnodar, 350040, Russian Federation, E-mail: kostenko@kubsu.ru
Received on December 11, 2020
Accepted on January 15, 2021

A holistic description of a universal mathematical model for the concept of an intelligent system is given. It is based on formalized invariants associated with the processes of creating and applying such systems. The core of the model is formed by consistent descriptions for sections of knowledge formalisms, components of multidimensional architecture and knowledge flows processes within it, as well as cybernetic hierarchical multi agents systems that control the intelligent systems subjective existence. The fundamental invariants of the knowledge presentation and processing are directly implemented by these main sections basic elements. Invariants form unified set of intelligent systems general attributes. This set allows carrying out comprehensive formal modelling of the intelligence. These invariants are associated with knowledge aspects. They are developed and used at knowledge areas that deal with exploring the memory structural organization and thinking processes models. The tools for transforming the proposed abstract model into the models of specific intelligent systems are morphisms of homomorphic expansion. These morphisms concretize the content of the main structural and functional elements of the intelligent system fundamental model. At the same time, the varieties of entities implemented by model elements are narrowed to the families of objects that make up applied intelligent systems. These systems inherit the properties of fundamental model common elements. Intermediate models of the processes of converting the original model into applied ones allow studying these models properties by mathematical tools. Intermediate models form the basis for the subsequent development of the technology of creating and applying multilevel intelligent systems.

Keywords: intelligent system, knowledge representation formalism, knowledge dimension, knowledge flow process, ontology, knowledge synthesis, knowledge morphism, cognitive goal, intelligent agent
pp. 157–168
For citation:
Kostenko K. I. Core Invariants of the Mathematical Model of an Intelligent System, Programmnaya Ingeneria, 2021, vol. 12, no. 3, pp. 157—168
The reported study was funded by RFBR. Grant project number № 20-01-00289.