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Interactive Decision Maps

Approximation and Visualization of Pareto Frontier

  • Book
  • © 2004

Overview

Authors:
  1. Alexander V. Lotov

    1. Higher School of Economics, State University, Russia
      Dorodnicyn Computing Centre of Russian Academy of Sciences, Russia
      Lomonosov Moscow State University, Russia

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    You can also search for this author in PubMed   Google Scholar

  2. Vladimir A. Bushenkov

    1. University of Evora, Portugal

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  3. Georgy K. Kamenev

    1. Dorodnicyn Computing Centre of Russian Academy of Sciences, Russia

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Part of the book series: Applied Optimization (APOP, volume 89)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Environmental, Business and Other Applications of Interactive Decision Maps

    1. Front Matter

      Pages 1-1
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    2. Introduction to Interactive Decision Maps

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 3-34

    3. Academic Applications

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 35-68

    4. Real-Life Applications

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 69-97

    5. Reasonable Goals Method and Its Applications

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 99-128

    6. Non-Linear Systems and Other New Developments

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 129-162

  3. Computational Methods of the IDM Technique

    1. Front Matter

      Pages 163-163
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    2. Computational Methods for Static Models

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 165-218

    3. Computational Methods for Dynamic Systems

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 219-234

  4. Several Topics Related to Mathematical Basis of IDM

    1. Front Matter

      Pages 235-235
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    2. Theory of Iterative Methods for Polyhedral Approximation of Convex Bodies

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 237-261

    3. Perturbations of Solution Sets of Linear Systems

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 263-278

  5. Epilogue: New applications of the IDM technique on the Web

    1. Epilogue: New applications of the IDM technique on the Web

      • Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 279-287

  6. Back Matter

    Pages 289-310
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Keywords

About this book

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.

Reviews

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)

Authors and Affiliations

  • Higher School of Economics, State University, Russia

    Alexander V. Lotov

  • Dorodnicyn Computing Centre of Russian Academy of Sciences, Russia

    Alexander V. Lotov, Georgy K. Kamenev

  • Lomonosov Moscow State University, Russia

    Alexander V. Lotov

  • University of Evora, Portugal

    Vladimir A. Bushenkov

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