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Interactive Decision Maps : Approximation and Visualization of Pareto Frontier - Alexander V. Lotov

Interactive Decision Maps

Approximation and Visualization of Pareto Frontier

Hardcover Published: 29th February 2004
ISBN: 9781402076312
Number Of Pages: 310

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Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background. Part I is written in a simple form and can be assessed by any computer-literate person interested in the application of visualization methods in decision making. This part will be of interest to specialists and students in various fields related to decision making including environmental studies, management, business, engineering, etc. In Part II computational methods are introduced in a relatively simple form. This part will be of interest to specialists and students in the field of applied optimization, operations research and computer science. Part III is written for specialists and students in applied mathematics interested in the theoretical basis of modern optimization. Due to this structure, the parts can be read independently. For example, students interested in environmental applications could restrict themselves to Part I and the Epilogue. In contrast, those who are interested in computational methods can skip Part I and read Part II only. Finally, specialists, who are interested in the theory of approximation of multi-dimensional convex sets or in estimation of disturbances of polyhedral sets, can read the corresponding chapters of Part III.

From the reviews:

"This book is devoted to the application of computer visualization in the framework of multi-criteria optimization. ... The book under review may be recommended for users and theoreticians in the decision making field." (Krzysztof Piasecki, Zentralblatt MATH, Vol. 1103, 2007)

Foreword
Preface
Acknowledgments
Environmental, Business and Other Applications of Interactive Decision Maps
Introduction to Interactive Decision Mapsp. 3
Academic Applicationsp. 35
Real-life Applicationsp. 69
Reasonable Goals Method and Its Applicationsp. 99
Non-Linear Systems and Other New Developmentsp. 129
Computational Methods of the IDM Technique
Computational Methods for Static Modelsp. 165
Computational Methods for Dynamic Systemsp. 219
Several Topics Related to Mathematical Basis of IDM
Theory of Iterative Methods for Polyhedral Approximation of Convex Bodiesp. 237
Perturbations of Solution Sets of Linear Systemsp. 263
Epilogue: New applications of IDM technique in Webp. 279
Referencesp. 289
Author Indexp. 303
Indexp. 307
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402076312
ISBN-10: 1402076312
Series: Applied Optimization
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 310
Published: 29th February 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.67