MODELS AND METHOD OF SCIENTIFIC ORGANIZATIONS’ PERFOMANCE ANALYSIS ON THE BASIS OF THE LATTICE THEORY

Kotel'nikov Aleksandr Valer'evich, Applicant, Penza State University (40 Krasnaya street, Penza, Russia), kotelnikov88@gmail.com
Lebedev Viktor Borisovich, Doctor of engineering sciences, professor, sub-department of information support of management and production, Penza State University (40 Krasnaya street, Penza, Russia), llvvbb@mail.ru

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Background. Efficient management of any enterprise requires information on its performance. There are various indicators for performance estimation. Identification of interconnections and various dependencies between indicators facilitates determination of indicators or a combination thereof, to a large extent, influencing the perfomance. In this connection, there is an urgent task of developing models and methods of organization’s performance. The purpose of this paper is to describe the method of lattice theory; the method is used to represent a structure of indicators of scientific activity, followed by an analysis based on properties of models based on the lattice theory.
Materials and methods. The method of combinatorial ordered modeling was used as a method of modeling, analysis and evaluation of scientific activities.
Results. The article gives the main concepts of the method of combinatorial ordered modeling. The work describes a representation model of a partially ordered set and the model’s properties, as well as considers an example of data processing and analysis (indicators of scientific organization’s performance estimation) using the method of combinatorial ordered modeling based on lattices.
Conclusions. The method of combinatorial ordered simulation is a universal method for solving analysis problems and can be used in solving a wide range of problems. One of the main features of the method of combinatorial ordered simulation is high adequacy of representation of a data structure as a lattice, formed by a closure operator.

analysis of scientific activity, closure operator, lattice, Hasse diagram, family of sets, model of data structure, indicators of scientific activity

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