The processing of hyperspectral images as matrix algebra operations

Forming a мetodology for transforming a model as the basis for expanding its informativeness

“…Especially important are the possibilities that are opened for implementation of, for example, the method of self-organization of complex systems models [49]. It should be expected that reasoning on the basis of comparisons, as a process of harmonizing the results from deduction analysis based on the proposed set of quantitative information indicators (7), (8) and (12) to (13) in the systems for choosing options and evaluating results [50], would be greatly simplified. Together with the development of inductive, training algorithms for complex modelling systems [51], given the quantitative possibilities, obtained in the work, for additional two- [52] or multilevel monitoring [53], the process of modeling based on the presented indicators (7), (8) and (12), (13) would acquire additional informational content.…”

“…In this regard, the success of applying such transformed models, together with the analytic membership functions and transformed operations [55], would acquire new applications in comparison with those that have been already widely used [56]. The increased sensitivity of the integrated criterion of adequacy (8) and the established connection between the properties of an implicit source model and the explicit one with the predefined accuracy (12), as well the presence of an expression about the number of the boundary iteration (13), would create reasonable requirements that could ensure noise resistance in modelling processes [57]. Of course, the main obstacle to further implementation is the presence of regions and points that are not differentiated.…”

“…Implementation of the latter would make it possible to represent the model's informational image in the form of a single number with an ordered structure [11]. It is obvious that such an informational description of modeling and coding results [12] must satisfy the condition of completeness. Thus, solving the specified tasks opens us a possibility and a necessity to improve the completeness of a description, to form an informational support based on the totality of attributes [13].…”

Synthesis of a trend’s integral estimate based on a totality of indicators for a time series data

“…The development of the specified direction of mathematical substantiation of the cybernetic approach to the construction of the system of estimation of public administration effectiveness to combat corruption in the society, the control and information effectiveness will be ensured only due to the use of a special method for the formation of the integral indicator. Its implementation, together with the use of network technologies and analytical leaning [17], recurrent calibration [33] or graphical representation and presentation through the operation of matrix algebra opens up new opportunities and stimulates the search for new forms of representation of time series [34].…”

Transformation of operations with fuzzy sets for solving the problems on optimal motion of crewless unmanned vehicles

“…The methods based on construction of algorithms of active positioning using video camera image streams (which in turn are based on a multiagent approximation) were further developed in [31]. Realizability of such algorithms depends to a large extent on improvement of quality and security of encoding processes [32], decoding of video frames and efficiency of presentation compression by means of the matrix algebra operations [33].…”