Bauman Moscow State Technical University
Author list of organization
List of articles written by the authors of the organization
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SYSTEM FUZZY INTERVAL MATHEMATICS - A PROMISING AREA OF THEORETICAL AND COMPUTATIONAL MATHEMATICS
01.00.00 Physical-mathematical sciences
DescriptionThe article b riefly considers the prospects of some “points of growth” in the modern theoretical and computational mathematics: the numbers and sets, i.e. the base of modern mathematics; mathematical, pragmatic and computer numbers; from the usual sets - to unclear; the theory of fuzzy sets and “fuzzy dou-bling” of mathematics; the mix of fuzzy set theory to the theory of random sets; interval numbers as a spe-cial case of fuzzy sets; development of interval mathematics (interval doubling of mathematics); the system as a generalization of a multitude; the systematic generalization of mathematics and tasks emerging; the systematic generalization of operations on sets (on the example of the operation of the Boolean association); the systematic generalization of the concept of functions and functional dependencies participation; cognitive function; the matrix of knowledge as fuzziness with an estimated degree of truth of showing data systems arguments on the system of values of the function; modification of the method of least squares for the approximation of cognitive functions; development of the idea of the systematic generalization of mathematics in the field of information theory – system emergent information theory; information measures of the level of consistency; ratios of emergence; direct and opposite, direct and indirect logical reasoning with an estimated level of truth; intellectual system of Eidos X++ as a toolkit that implements the ideas of system of a fuzzy interval sum of mathematics
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FUZZY SETS THEORY AS THE PART OF PROBABILITY THEORY
01.00.00 Physical-mathematical sciences
DescriptionOne of the key provisions of the system fuzzy interval mathematics - the claim that the theory of fuzzy sets is the part of the theory of random sets, thus, part of the probability theory. The article is devoted to the justification of this statement. Proved number of theorems that show that the fuzzy sets and the results of operations on them can be viewed as the projections of random sets and the results of the corresponding operations on them
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METHODOLOGY OF CONTROL PROCESSES MODELING IN SOCIO-ECONOMIC SYSTEMS
01.00.00 Physical-mathematical sciences
DescriptionThe article introduces the basic concepts of control theory. It has also noted the multicriteriality of real control problems. After reviewing the basic concepts of the theory of modeling we have analyzed postwar history and current status of mathematical modeling of control processes. We have also discussed the modeling methodology. As an example of a real model of the management process we have considered a model of allocation of time between the acquisition of knowledge and development of skills
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TWO-SAMPLE WILCOXON TEST - ANALYSIS OF TWO MYTHS
01.00.00 Physical-mathematical sciences
DescriptionIt was established that the two-sample Wilcoxon test (Mann-Whitney test) was designed to test the hypothesis H0: P(X
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DO WE ALWAYS NEED A SUPPLIER’S QUALITY CONTROL?
DescriptionThe higher the level of quality achieved, the greater the control size - this is the paradox of the classical theory of statistical control. A possible way out is to move to the technical policy based on economic characteristics. Shifting control to the consumer may be economically profitable. We have considered two variants of technical policy - increasing lot size and replacing defective product units at the consumer
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A NEW APPROACH TO THE STUDY OF THE STABILITY OF CONCLUSIONS IN THE MATHEMATICAL MODELS
01.00.00 Physical-mathematical sciences
DescriptionWe have proposed the general scheme for studying the stability of the conclusions obtained by mathematical methods and models regarding tolerance deviations of the original data and background models. The concrete problems of stability are discussed: towards a change of data, its size and distributions, to allowable transformations measurement scales, to the temporal characteristics (time of start of the project, the planning horizon). Reducing the uncertainty can be conducted by changing the type of data, i.e. with the aid of the transition to non-numerical data. The models of concrete management processes of industrial organizations are considered on the examples of stability characteristics of investment projects to change the discount factors and in models of inventory management to change in the coefficients of the model and batch size production
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Description
The basic ideas of non-formal informational economy of the future (NIEF) are analyzed. Its use as the base organizational-economic theory in exchange «economics» is proved. Core of researches in the field of the NIEF is forecasting of development of the future society and its economy, working out of organizational-economic methods and models, necessary for the future and intended for increase of efficiency of managerial processes. The economy is a science how to make, instead of, how to divide profit. The basic kernel of the modern economic theory is an engineering economy
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NEW AREA OF CONTROLLING –CONTROLLING OF ORGANIZATIONAL-ECONOMIC METHODS
DescriptionWe introduce the concept of "controlling organizational-economic methods". We define the terms in the sequence "the problem - the model - the method - the conditions of applicability". We have described the basic organizational-economic model of industrial firm; by means of this model we have discussed the problems of development of modern organizational-economic methods. We have demonstrated the relevance of the theory and methodology of organizational-economic modeling. For example, we consider the application of statistical methods at various stages of the life cycle of the product, the problem of internal risks in an industrial firm and accounting for inflation in the analysis of activities of the organization
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ABOUT THE DEVELOPMENT OF THE STATISTICS OF NONNUMERICAL OBJECTS
01.00.00 Physical-mathematical sciences
DescriptionAbout thirty-five years ago, the statistics of non-numerical objects was highlighted as an independent field of mathematical statistics. This article analyzes the basic ideas in this area, and relevant publications on the background of the development of applied statistics, and in connection with the system fuzzy interval mathematics
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Description
The requirements for the project design stages of creating rocket and space technology are specified. The algorithm of estimation the feasibility of such projects is proposed based on their innovation and investment components