Decision-making in the fuzzy environment on the basis of various compromise schemes

Algorithm for finding reference brightness correction coefficients

“…The brief description of the algorithm (functional blocks of the algorithm are indicated in parentheses): the search begins (1) by opening the width loop (2) and then opening the height loop (3), in which checks occur: if the brightness of the current point is in the range (4), then the coefficient is zero (5), otherwise, if it is smaller (6), then the coefficient is equal to (7), otherwise, if it is smaller (8), then the coefficient is equal to (9). The algorithm is completed (10).…”

“…The brief description of the algorithm (the functional blocks of the algorithm are indicated in parentheses): the algorithm begins (1) by loading the selected area into the img variable (2), then it is checked whether all three color components need to be processed (3): if so, the pBegin and pEnd variables are set to 0 and 2, respectively (10), otherwise it is checked for which color component processing is required -for red/brightness (4), in this case the variables pBegin and pEnd are set to 0 (7); for green/chromatic blue (5), in this case the variables pBegin and pEnd are set to 1 (8); for blue/chromatic red (6), in this case the variables pBegin and pEnd are set to 2 (9). Next a cycle opens from begin to pEnd inclusive with a step of 1 (11) and inside it a height cycle with a step of 1 (12), in which the formula (2) (13) is applied to the current row.…”

“…Sobel [1]. For example, the batch method of comparing dynamic television images and recorded images has its own background [2][3][4][5][6] and in a certain sense, it is based on the results of a number of scientific works on the study of textures. Thus, when studying the image texture, a method was applied based on the analysis of a family of images obtained with a combination of distortions of the analyzed image using a variety of filters, while the combination of filters was determined intuitively by visual analysis of images (stripes, spots, etc.).…”

Development of mathematical models and optimization of operation modes of the oil heating station of main oil pipelines under conditions of fuzzy initial information

“…To study the process and operating modes of the oil heating station of main oil pipelines, the methodology and methods of system analysis are used [16][17][18], which makes it possible to use the available initial information of a different nature in the development of models and optimization of the object in conditions of uncertainty and fuzziness of the initial information. During the collection and processing of initial information, the development of mathematical models, in the formulation and solution of the problem of decision-making on the multi-criteria selection of operating modes for the oil heating station, experimental-statistical methods [19][20][21], methods of multi-criteria optimization and decision-making theories are used [22][23][24][25][26][27]. In the work, with the purpose of collecting, formalizing, and using fuzzy information, methods of expert evaluations and theories of fuzzy sets are used [4,[12][13][14][15].…”

“…In the process of choosing a solution, alternatives are evaluated, i.e. possible solutions, and the selection of the best one is made according to the given criteria [22,31]. Evaluation and selection of the best solution in a production environment, as well as in our problem, are performed under multi-criteria conditions, in line with the criteria of economic, environmental, technological nature.…”