Interactive Fuzzy Optimization

  • Mario Fedrizzi
  • Janusz Kacprzyk
  • Marc Roubens

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 368)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Introductory Sections

    1. Front Matter
      Pages 1-1
    2. Mario Fedrizzi, Janusz Kacprzyk, José L. Verdegay
      Pages 15-28
  3. Fuzzy Optimization: General Issues and Related Topics

  4. Issues Related to Interactive Decision Making

    1. Front Matter
      Pages 111-111
    2. A. F. Rocha, M. Theoto
      Pages 120-125
    3. Jacek Maitan, Zbigniew W. Ras
      Pages 126-137
  5. Algorithms and Software for Interactive Fuzzy Optimization

About this book

Introduction

The title of this book seems to indicate that the volume is dedicated to a very specialized and narrow area, i. e. , to the relationship between a very special type of optimization and mathematical programming. The contrary is however true. Optimization is certainly a very old and classical area which is of high concern to many disciplines. Engineering as well as management, politics as well as medicine, artificial intelligence as well as operations research, and many other fields are in one way or another concerned with optimization of designs, decisions, structures, procedures, or information processes. It is therefore not surprising that optimization has not grown in a homogeneous way in one discipline either. Traditionally, there was a distinct difference between optimization in engineering, optimization in management, and optimization as it was treated in mathematical sciences. However, for the last decades all these fields have to an increasing degree interacted and contributed to the area of optimization or decision making. In some respects, new disciplines such as artificial intelligence, descriptive decision theory, or modern operations research have facilitated, or even made possible the interaction between the different classical disciplines because they provided bridges and links between areas which had been developing and applied quite independently before. The development of optimiiation over the last decades can best be appreciated when looking at the traditional model of optimization. For a well-structured, Le.

Keywords

Fuzzy Optimization Unscharfe Entscheidungen algorithm algorithms decision making fuzzy fuzzy set fuzzy sets linear optimization mathematical programming modeling optimization programming semantics set theory

Editors and affiliations

  • Mario Fedrizzi
    • 1
  • Janusz Kacprzyk
    • 2
  • Marc Roubens
    • 3
  1. 1.Institute of Computer ScienceUniversity of TrentoTrentoItaly
  2. 2.Systems Research InstitutePolish Academy of SciencesWarsawPoland
  3. 3.Institute of MathematicsUniversity of LiègeLiègeBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-45700-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-54577-4
  • Online ISBN 978-3-642-45700-5
  • Series Print ISSN 0075-8442
  • About this book