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Fuzzy Optimization

Recent Advances and Applications

  • Book
  • © 2010

Overview

Editors:
  1. Weldon A. Lodwick

    1. Department of Mathemaitical and Statistical Sciences, University of Colorado Denver, Colorado, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Janusz Kacprzyk

    1. Systems Research Institute Polish Academy of Sciences, Warsaw, Poland

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    You can also search for this editor in PubMed   Google Scholar

  • Overview over the latest research and applications in fuzzy optimization
  • Written by leading experts State-of-the-Art book

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 254)

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Table of contents (23 chapters)

  1. Front Matter

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  2. Introductory Sections

    1. Front Matter

      Pages 1-1
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    2. Fuzziness, Rationality, Optimality and Equilibrium in Decision and Economic Theories

      • Kofi Kissi Dompere
      Pages 3-32

    3. Introduction to Fuzzy and Possibilistic Optimization

      • Weldon A. Lodwick, Elizabeth Untiedt
      Pages 33-62

  3. Basic Issues

    1. Front Matter

      Pages 63-63
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    2. Aggregation Operators for Evaluating Alternatives

      • Vicenç Torra
      Pages 65-76

    3. Optimization and Aggregation Functions

      • Gleb Beliakov
      Pages 77-108

    4. Chebyshev Approximation of Inconsistent Fuzzy Relational Equations with Max-T Composition

      • Pingke Li, Shu-Cherng Fang
      Pages 109-124

  4. Various Types of Fuzzy Optimization and Fuzzy Mathematical Programming Models

    1. Front Matter

      Pages 125-125
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    2. A Survey of Fuzzy Convex Programming Models

      • Ricardo C. Silva, Carlos Cruz, José L. Verdegay, Akebo Yamakami
      Pages 127-143

    3. Approaches to Linear Programming Problems with Interactive Fuzzy Numbers

      • Masahiro Inuiguchi
      Pages 145-161

    4. Possibilistic Optimization Tasks with Mutually T-Related Parameters: Solution Methods and Comparative Analysis

      • Alexander Yazenin, Ilia Soldatenko
      Pages 163-192

    5. A Parametrized Model for Optimization with Mixed Fuzzy and Possibilistic Uncertainty

      • Elizabeth Untiedt
      Pages 193-208

    6. On Solving Optimization Problems with Ordered Average Criteria and Constraints

      • WÅ‚odzimierz Ogryczak, Tomasz ÅšliwiÅ„ski
      Pages 209-230

    7. Fuzzy Dynamic Programming Problem for Extremal Fuzzy Dynamic System

      • Gia Sirbiladze
      Pages 231-270

    8. Vaguely Motivated Cooperation

      • Milan MareÅ¡
      Pages 271-283

  5. Fuzzy Network and Combinatorial Optimization

    1. Front Matter

      Pages 285-285
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    2. Computing Min-Max Regret Solutions in Possibilistic Combinatorial Optimization Problems

      • Adam Kasperski, PaweÅ‚ ZieliÅ„ski
      Pages 287-312

    3. Stochastic Bottleneck Spanning Tree Problem on a Fuzzy Network

      • Yue Ge, Hiroaki Ishii
      Pages 313-321

    4. The Use of Fuzzy Numbers in Practical Project Planning and Control

      • Dorota Kuchta
      Pages 323-339
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Keywords

About this book

Optimization is an extremely important area in science and technology which provides powerful and useful tools and techniques for the formulation and solution of a multitude of problems in which we wish, or need, to to find a best possible option or solution. The volume is divided into a coupe of parts which present various aspects of fuzzy optimization, some related more general issues, and applications.    

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Editors and Affiliations

  • Department of Mathemaitical and Statistical Sciences, University of Colorado Denver, Colorado, USA

    Weldon A. Lodwick

  • Systems Research Institute Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

About the editors

     

Bibliographic Information

  • Book Title: Fuzzy Optimization

  • Book Subtitle: Recent Advances and Applications

  • Editors: Weldon A. Lodwick, Janusz Kacprzyk

  • Series Title: Studies in Fuzziness and Soft Computing

  • DOI: https://doi.org/10.1007/978-3-642-13935-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2010

  • Hardcover ISBN: 978-3-642-13934-5Published: 15 July 2010

  • Softcover ISBN: 978-3-642-26407-8Published: 05 September 2012

  • eBook ISBN: 978-3-642-13935-2Published: 23 July 2010

  • Series ISSN: 1434-9922

  • Series E-ISSN: 1860-0808

  • Edition Number: 1

  • Number of Pages: XXII, 530

  • Number of Illustrations: 15 illustrations in colour

  • Topics: Mathematical and Computational Engineering, Artificial Intelligence

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