Extremal Fuzzy Dynamic Systems: Theory and Applications

ISBN-13: 9781489996602 / Angielski / Miękka / 2014 / 402 str.

Gia Sirbiladze

Opis

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.

Recenzje

From the book reviews:

"This research monograph presents a new approach to the substantial body of prior work by the author. ... This book is intended for researchers or graduate students interested in the theory and application of fuzzy dynamic systems." (IEEE Control Systems Magazine, October, 2013)

"The core of this book is a series of six papers by Sirbiladze, published between 2005 and 2007, titled 'Modelling of extremal fuzzy dynamic systems, Parts I-VI' ... . The book is intended for a wide circle of readers, from theoretical researchers to practical engineers." (Wolfgang Näther, Mathematical Reviews, May, 2013)

Spis treści

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.​