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The foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly interdisciplinary problems are provided in this monograph. The basic definitions and the methodological and theoretical basis of formalization and solution processes in various subject domains are presented. The methods of formalizing the system tasks and reducing them to a solvable form under real-world conditions and by taking into account e.g. sets of contradictory purposes, quantitative and qualitative characteristics of information, different kinds of uncertainties and risks are described in detail. In addition, the authors propose methods for disclosing the conceptual uncertainty and develop a strategy for system interaction or counteraction of coalitions under multifactorial risks. All these topics are supported by the presentation of computing algorithms and solution procedures for practical problems in socio-economics and in technology, e.g. for designing complex interconnected systems to function under the conditions of uncertainty and risk. This monograph will be useful to researcher, post-graduates and advanced students spezializing in system analysis, decision making, strategic planning or engineering design.

System analysis. --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Information theory. --- Chemistry --- Engineering. --- Systems theory. --- Operations research. --- Theory of Computation. --- Math. Applications in Chemistry. --- Complexity. --- Systems Theory, Control. --- Operations Research/Decision Theory. --- Mathematics. --- System theory. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- Construction --- Industrial arts --- Technology --- Communication theory --- Communication --- Cybernetics --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Computers. --- Chemometrics. --- Computational complexity. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Complexity, Computational --- Electronic data processing --- Machine theory --- Chemistry, Analytic --- Analytical chemistry --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Decision making --- Mathematics --- Measurement --- Statistical methods

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This monograph is dedicated to the systematic presentation of main trends, technologies and methods of computational intelligence (CI). The book pays big attention to novel important CI technology- fuzzy logic (FL) systems and fuzzy neural networks (FNN). Different FNN including new class of FNN- cascade neo-fuzzy neural networks are considered and their training algorithms are described and analyzed. The applications of FNN to the forecast in macroeconomics and at stock markets are examined. The book presents the problem of portfolio optimization under uncertainty, the novel theory of fuzzy portfolio optimization free of drawbacks of classical model of Markovitz as well as an application for portfolios optimization at Ukrainian, Russian and American stock exchanges. The book also presents the problem of corporations bankruptcy risk forecasting under incomplete and fuzzy information, as well as new methods based on fuzzy sets theory and fuzzy neural networks and results of their application for bankruptcy risk forecasting are presented and compared with Altman method. This monograph also focuses on an inductive modeling method of self-organization – the so-called Group Method of Data Handling (GMDH) which enables to construct the structure of forecasting models almost automatically. The results of experimental investigations of GMDH for forecasting at stock exchanges are presented. The final chapters are devoted to theory and applications of evolutionary modeling (EM) and genetic algorithms. The distinguishing feature of this monograph is a great number of practical examples of CI technologies and methods application for solution of real problems in technology, economy and financial sphere, in particular forecasting, classification, pattern recognition, portfolio optimization, bankruptcy risk prediction under uncertainty which were developed by authors and published in this book for the first time. All CI methods and algorithms are presented from the general system approach and analysis of their properties, advantages and drawbacks that enables practitioners to choose the most adequate method for their own problems solution. .

Engineering. --- Artificial intelligence. --- Computational intelligence. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Intelligence, Computational --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Construction --- Artificial intelligence --- Soft computing --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Industrial arts --- Technology --- Artificial Intelligence. --- Neural networks (Computer science) --- Artificial neural networks --- Nets, Neural (Computer science) --- Networks, Neural (Computer science) --- Neural nets (Computer science) --- Natural computation

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In this volume, the authors close the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other. Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in hydromechanics, geophysics and mechanics of continua. This compilation will be of interest to mathematicians and engineers working at the interface of these field. It presents selected works of the open seminar series of Lomonosov Moscow State University and the National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Germany, Italy, Spain, Russia, Ukraine, and the USA.

Classical mechanics. Field theory --- Physicochemistry --- Organic reaction mechanisms and kinetics --- Applied physical engineering --- Engineering sciences. Technology --- thermodynamica --- toegepaste mechanica --- systeemtheorie --- systeembeheer --- ingenieurswetenschappen --- mechanica --- kogellagers --- fysicochemie

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This monograph is dedicated to the systematic presentation of main trends, technologies and methods of computational intelligence (CI). The book pays big attention to novel important CI technology- fuzzy logic (FL) systems and fuzzy neural networks (FNN). Different FNN including new class of FNN- cascade neo-fuzzy neural networks are considered and their training algorithms are described and analyzed. The applications of FNN to the forecast in macroeconomics and at stock markets are examined. The book presents the problem of portfolio optimization under uncertainty, the novel theory of fuzzy portfolio optimization free of drawbacks of classical model of Markovitz as well as an application for portfolios optimization at Ukrainian, Russian and American stock exchanges. The book also presents the problem of corporations bankruptcy risk forecasting under incomplete and fuzzy information, as well as new methods based on fuzzy sets theory and fuzzy neural networks and results of their application for bankruptcy risk forecasting are presented and compared with Altman method. This monograph also focuses on an inductive modeling method of self-organization – the so-called Group Method of Data Handling (GMDH) which enables to construct the structure of forecasting models almost automatically. The results of experimental investigations of GMDH for forecasting at stock exchanges are presented. The final chapters are devoted to theory and applications of evolutionary modeling (EM) and genetic algorithms. The distinguishing feature of this monograph is a great number of practical examples of CI technologies and methods application for solution of real problems in technology, economy and financial sphere, in particular forecasting, classification, pattern recognition, portfolio optimization, bankruptcy risk prediction under uncertainty which were developed by authors and published in this book for the first time. All CI methods and algorithms are presented from the general system approach and analysis of their properties, advantages and drawbacks that enables practitioners to choose the most adequate method for their own problems solution. .

Applied physical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- patroonherkenning --- neuronale netwerken --- fuzzy logic --- cybernetica --- big data --- KI (kunstmatige intelligentie) --- ingenieurswetenschappen

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Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects. This is the first of two volumes dealing with the subject.

Applied mathematics. --- Nonlinear partial differential operators. --- Variational inequalities (Mathematics) --- Differential operators --- Differentiable dynamical systems --- Earth sciences --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Applied Mathematics --- Calculus --- Data processing --- Statistical methods --- Data processing. --- Statistical methods. --- Geosciences --- Mathematics. --- Earth sciences. --- Engineering mathematics. --- Geophysics. --- Fluid mechanics. --- Applications of Mathematics. --- Geophysics and Environmental Physics. --- Earth Sciences, general. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Geological physics --- Terrestrial physics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Environmental sciences --- Physical sciences --- Math --- Science --- Geography. --- Hydraulic engineering. --- Engineering, Hydraulic --- Fluid mechanics --- Hydraulics --- Shore protection --- Cosmography --- World history