Extremal Fuzzy Dynamic Systems: Theory and Applications

✍ Scribed by Gia Sirbiladze (auth.)

• Publisher: Springer-Verlag New York
• Year: 2013
• Tongue: English
• Leaves: 415
• Series: IFSR International Series on Systems Science and Engineering 28
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxii
Front Matter....Pages 1-2
Introduction....Pages 3-23
Monotone Measure Probability Representations and Weighted Fuzzy Statistics....Pages 25-94
Extended Extremal Monotone Measures....Pages 95-130
Extended Extremal Monotone Measures on Composition Products of Measurable Spaces....Pages 131-164
Modeling of Extremal and Controllable Extremal Fuzzy Processes....Pages 165-199
Identification of Fuzzy-Integral Models of Extremal Fuzzy Processes....Pages 201-227
Optimization of Continuous Controllable Extremal Fuzzy Processes and the Choice of Decisions....Pages 229-253
Problems of States Estimation (Filtration) of Extremal Fuzzy Processes....Pages 255-288
Summary of Chapters 3–8....Pages 289-290
Front Matter....Pages 291-292
Application of the Discrete Possibilistic Model of the EFDS to the Evaluation of Expert Knowledge Streams....Pages 293-345
Forecasting Decreasing Financial Risk of the Georgia-Based Organization Industria Kiri Ltd. by a Finite Model of a Possibilistic Dynamic System....Pages 347-367
On the Genetic Algorithms Approach and Software Library....Pages 369-374
Back Matter....Pages 375-400

✦ Subjects

Systems Theory, Control; Simulation and Modeling; Artificial Intelligence (incl. Robotics); Measure and Integration; Operations Research, Management Science; Operation Research/Decision Theory