Abstract
The paper examines the interconnection between matrix modeling and accounting informational systems (AIS) and highlights the role of these systems in the true and fair reporting of economic activities. The author shows that such systems make it possible to present the functional fragments of knowledge in information modeling systems and gives a definition of the accounting information systems in the context of modern economic development. The article focuses on designing a concept of a knowledge-based economy and identifying the role of accounting in this process. It shows the accounting system reliability depends on such information system which would make it possible to fully report the data about business activity of an entity. Information technology has crucially changed this very important area of accounting. Modern accounting is more dynamic and influential in making economic decisions. That is why the understanding of accounting science and its influence on accounting processes is changing. This in turn imposes new requirements on professional education and training of accountants. It is evident that the period of data input is now significantly shorter, starting with processing banking information and invoices. Thus the practice of accounting is impossible in its conventional form which calls for the fundamental change of thinking in many areas of accounting.The article discusses the state of national accounting system and its compliance with the international accounting practices under conditions of globalization. The author gives the arguments on how to assess the accounting process adequacy by means of situational matrix modeling (HMM) in the structure of the accounting information system.