© 1998

Fuzzy Sets in Decision Analysis, Operations Research and Statistics

  • Roman Słowiński

Part of the The Handbooks of Fuzzy Sets Series book series (FSHS, volume 1)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Decision Making

    1. Front Matter
      Pages 1-1
    2. Patrice Perny, Marc Roubens
      Pages 3-30
    3. Michel Grabisch, Sergei A. Orlovski, Ronald R. Yager
      Pages 31-68
    4. Janos Fodor, Sergei Orlovski, Patrice Perny, Marc Roubens
      Pages 69-101
    5. Janusz Kacprzyk, Hannu Nurmi
      Pages 103-136
    6. Antoine Billot
      Pages 137-176
  3. Mathematical Programming

    1. Front Matter
      Pages 177-177
    2. Heinrich Rommelfanger, Roman Słowiński
      Pages 179-213
    3. Stefan Chanas, Dorota Kuchta
      Pages 249-280
    4. Augustine O. Esogbue, Janusz Kacprzyk
      Pages 281-307
  4. Statistics and Data Analysis

    1. Front Matter
      Pages 309-309
    2. Jörg Gebhardt, María Angeles Gil, Rudolf Kruse
      Pages 311-347
    3. Phil Diamond, Hideo Tanaka
      Pages 349-387
  5. Reliability, Maintenance and Replacement

    1. Front Matter
      Pages 389-389
    2. Etienne Kerre, Takehisa Onisawa, Bart Cappelle, Igor Gazdik
      Pages 391-420
    3. Augustine O. Esogbue, Warren E. Hearnes II
      Pages 421-447
  6. Back Matter
    Pages 449-453

About this book


Fuzzy Sets in Decision Analysis, Operations Research and Statistics includes chapters on fuzzy preference modeling, multiple criteria analysis, ranking and sorting methods, group decision-making and fuzzy game theory. It also presents optimization techniques such as fuzzy linear and non-linear programming, applications to graph problems and fuzzy combinatorial methods such as fuzzy dynamic programming. In addition, the book also accounts for advances in fuzzy data analysis, fuzzy statistics, and applications to reliability analysis. These topics are covered within four parts:
  • Decision Making,
  • Mathematical Programming,
  • Statistics and Data Analysis, and
  • Reliability, Maintenance and Replacement.

The scope and content of the book has resulted from multiple interactions between the editor of the volume, the series editors, the series advisory board, and experts in each chapter area. Each chapter was written by a well-known researcher on the topic and reviewed by other experts in the area. These expert reviewers sometimes became co-authors because of the extent of their contribution to the chapter. As a result, twenty-five authors from twelve countries and four continents were involved in the creation of the 13 chapters, which enhances the international character of the project and gives an idea of how carefully the Handbook has been developed.


Analysis game theory linear optimization modeling nonlinear optimization operations research optimization

Editors and affiliations

  • Roman Słowiński
    • 1
  1. 1.Poznań University of TechnologyPoland

Bibliographic information