Solovjova K. Systemological and Mathematical Fundamentalses of Natural Classification and Their Application in Intellectual Systems

The object of studying: system organization of problem areas and human conceptual knowledge. The purpose: development and application for a solution of the problem of natural classification (NC) new system cognitive methodology of the conceptual analysis of complex systems and low-formalized problem areas for knowledge systematization and representation in intellectual systems. The methods of investigations: systems analysis, theoretic-cathegorial apparatous. The theoretical results: systemology of systems-classes based on functional systemology is offered and is used to determine regularities of NC; mathematical (category-functorial) model of NC for arbitrary problem area is designed and is justified; formal criteria of NC are elaborated and are justified on the basis of synthesis of systemological and mathematical methods. The practice results: the method of the systemological classification analysis, algorithmic and instrumental program tools of its support for conceptual modeling of arbitrary probl em area on the basis of NC are offered, which allow to receive classifications taking into account essential properties of objects, and to automize main stages of intellectual systems creation. Novently: unknown earlier regularities of NC are defined; for the first time mathematical model and criteria of NC are offered, the way of creation of the parametric classification scheme is defined and is justified; the theory of categories is supplemented by new concepts; unknown earlier mechanism of inheriting of classification units properties is detected; the possibilities and conditions of unified model creation of a problem area, conceptual knowledge and system of the business communication language terms on the basis of the NC are justified. The degree of incultation: the main results are introduced into knowledge based systems and technologies (ES, DSS, learning etc.), that increased their adaptivity, efficiency, level of automation of solution of low-formalized problems, justification and objectivityof the gu idelines, as well as provided support of optimal decision making. The bield of use: the systems analysis; banks of knowledge and data; conceptual modeling; intellectual systems and technologies; classifications in different fields of knowledge.