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Extremal Fuzzy Dynamic Systems (eBook)

Theory and Applications
eBook Download: PDF
2012 | 2013
XXII, 402 Seiten
Springer New York (Verlag)
978-1-4614-4250-9 (ISBN)

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Extremal Fuzzy Dynamic Systems -  Gia Sirbiladze
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In this book the author presents a new approach to the study of weakly structurable dynamic systems. It differs from other approaches by considering time as a source of fuzzy uncertainty in dynamic systems. It begins with a thorough introduction, where the general research domain, the problems, and ways of their solutions are discussed. The book then progresses systematically by first covering the theoretical aspects before tackling the applications. In the application section, a software library is described, which contains discrete EFDS identification methods elaborated during fundamental research of the book.

Extremal Fuzzy Dynamic Systems will be of interest to theoreticians interested in modeling fuzzy processes, to researchers who use fuzzy statistics, as well as practitioners from different disciplines whose research interests include abnormal, extreme and monotone processes in nature and society. Graduate students could also find this book useful.


In this book the author presents a new approach to the study of weakly structurable dynamic systems. It differs from other approaches by considering time as a source of fuzzy uncertainty in dynamic systems. It begins with a thorough introduction, where the general research domain, the problems, and ways of their solutions are discussed. The book then progresses systematically by first covering the theoretical aspects before tackling the applications. In the application section, a software library is described, which contains discrete EFDS identification methods elaborated during fundamental research of the book.Extremal Fuzzy Dynamic Systems will be of interest to theoreticians interested in modeling fuzzy processes, to researchers who use fuzzy statistics, as well as practitioners from different disciplines whose research interests include abnormal, extreme and monotone processes in nature and society. Graduate students could also find this book useful.

Fuzzy Measures and Fuzzy Statistics: Its Probability Representations.- Extended Extremal Fuzzy Measures.- Extended Extremal Fuzzy Measures on Compositional Product of Measurable Spaces.- Modeling of Extremal and Controllable Extremal Fuzzy Processes.- Identification of  Fuzzy-Integral Models of Extremal fuzzy Processes.- Optimization of Continuous Controllable Extremal Fuzzy Processes and the Choice of Decisions.- Problems of States Estimation (Filtration) of Extremal Fuzzy Processes. - Conclusions on the Parts I-VII.- Algorithms and software for Discrete Possibilistic EFDS.- Application  of the Discrete Possibilistic Model  of the EFDS in the Evaluation of  Expert Knowledge Streams.- Application: Forecasting of  Increasing Financial Risks (Credit Risks) of Georgia-based Organization (LTD-“Fractal”) by the Discrete Possibilistic EFDS’s Finite Model.-  General Conclusions.- Bibliography.​

Erscheint lt. Verlag 25.9.2012
Reihe/Serie IFSR International Series in Systems Science and Systems Engineering
Zusatzinfo XXII, 402 p.
Verlagsort New York
Sprache englisch
Themenwelt Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften
Technik
Wirtschaft Betriebswirtschaft / Management Planung / Organisation
Schlagworte Dynamic Systems Theory • Extremal Fuzzy Processes • Extremal Fuzzy Software • Fuzzy Measures • Fuzzy Statistics
ISBN-10 1-4614-4250-8 / 1461442508
ISBN-13 978-1-4614-4250-9 / 9781461442509
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