Iterative Methods to Calculate Weighted Pseudoinverses with Mixed Weights
The authors have obtained and analyzed the expansions of weighted pseudoinverses with mixed weights (one of the weight matrices is positive definite and the other is nonsingular indefinite) into matrix power series with positive exponents. ...
An Analog of the Galerkin Method in Problems of Drug Delivery in Biological Tissues
The authors propose an analog of the Galerkin method for the initial–boundary-value problem that describes drug delivery in the artery wall using a drug-coated stent. The method of numerical solution of the initial–boundary-value problem is ...
Formalization of Influence Processes of Fuzzy Time Flow on the Solution to Time Resource Distribution Problems
This paper considers an approach to constructing fuzzy structured numerical sets, which is based on the principle of generating a fuzzy preimage with its subsequent replication on the numerical axis. The formalization of a fuzzy preimage consists ...
Sum of Discrete Fuzzy Numbers with Fuzzy Set of Summands
The author analyzes the operation of addition of discrete fuzzy numbers with a fuzzy set of summand subscripts as a generalization of the sum operation with a crisp set of operands. The result of this operation is shown to be a type-2 fuzzy set (...
Closed Solutions of Some Boundary-Value Problems of Filtration-Consolidation Dynamics within the Fractured-Fractal Approach
The autor constructs a fractured-fractal mathematical model of the dynamics of the process of filtration consolidation of a soil medium, a model of the dynamics of the process of filtration consolidation of massifs of fractal structure, taking ...
Modeling the Control Effects of the Banking System on the Functioning of the Economy. III. Calculation and Decomposition of Models with a Stepped Boundary Layer*
A mathematical formalism is proposed for calculating mathematical models of financial and economic systems (FES) and determining the optimal values of control parameters for the case of a stepped boundary layer. The influence of the effects of ...
Input–Output Map of Uncertainty of the Economy of Ukraine and its Application
The methodology for calculating the inter-industry map of uncertainty of the Ukrainian economy and the results of the calculations are considered. A historical assessment of a fragment of fiscal risks associated with tax revenue from taxes on ...
Formalization of the Procedure of Allocation of Technical Devices Among Monitoring Objects Based on the Theory of Fuzzy Sets
An approach to formalizing the procedure of allocation of technical devices among monitoring objects based on the theory of fuzzy sets is presented. The possibility of using a reference description of the signatures of monitoring objects as a part ...
Comprehensive Use of the Pareto Principle and the Analytic Hierarchy Process to Increase the Substantiation of Alternative Ranking Results
The article provides a general description of the analytic hierarchy process and analyzes the problem of the influence of Pareto-inefficient alternatives on ranking results. It is shown that the presence of Pareto-inefficient alternatives in the ...
Chebyshev Approximation of Multivariable Functions by the Exponential Expression
A method for constructing the Chebyshev approximation of multivariable functions by an exponential expression with a relative error is proposed. It generates an intermediate Chebyshev approximation of the values of the logarithm of a function by a ...
Analysis of Cluster Structures by Different Similarity Measures
The analysis of cluster formations used in applied problems is given. In various studies, data segmentation is usually performed by only one form of clusters. It is proposed to carry out clustering by different similarity measures for the same ...
A Two-Step Method for Solving Vector Optimization Problems on Permutation Configuration
A class of problems of vector Euclidean combinatorial optimization is considered as problems of discrete optimization on the set of combinatorial configurations mapped into the Euclidean space. The properties of the graphs of combinatorial ...
Personal Identification Based on the Individual Sonographic Properties of the Auricle Using Cepstral Analysis and Bayes Formula
A method of personality recognition by echographic parameters of the human ear is developed based on the naive Bayes classifier in the two following modes: the biometric identification (EER = 0.0053) and the biometric authentication (FRR = 0.0002 ...
Tomographic Image Reconstruction Based on Generalized Projections
The method of tomographic reconstruction of inhomogeneities in case of an arbitrary directional diagram and scanning along one coordinate is described. It is shown that in this case registered data (projections) are represented as the sum of the ...
A Meshless Method of Solving Three-Dimensional Nonstationary Heat Conduction Problems in Anisotropic Materials
The authors describe a meshless method for solving three-dimensional nonstationary heat conduction problems in anisotropic materials. A combination of dual reciprocity method using anisotropic radial basis function and method of fundamental ...
Representation, Analysis, and Extraction of Knowledge from Unstructured Natural Language Texts
This article overviews means of description logics for representing knowledge contained in natural language texts and a classification of description logics by constructors of concepts and roles. It also considers basic conceptions of temporal ...
J-UNIWARD Steganoanalysis
The author analyzes the problem of detecting the adaptive steganography by the J-UNIWARD method by steganoanalytical systems based on machine learning. As determined by the comparative analysis of the accuracy, the statistical models of ...