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Table of contents

  1. Front Matter
    Pages i-xviii
  2. Background of Fuzzy Set Theory

    1. Front Matter
      Pages 1-1
    2. Michal Jezewski, Robert Czabanski, Jacek Leski
      Pages 3-22 Open Access
    3. Robert Czabanski, Michal Jezewski, Jacek Leski
      Pages 23-43 Open Access
  3. Theory of Ordered Fuzzy Numbers

    1. Front Matter
      Pages 45-45
    2. Piotr Prokopowicz, Dominik Ślȩzak
      Pages 47-56 Open Access
    3. Piotr Prokopowicz, Dominik Ślȩzak
      Pages 57-79 Open Access
    4. Piotr Prokopowicz
      Pages 81-98 Open Access
    5. Jacek M. Czerniak, Wojciech T. Dobrosielski, Iwona Filipowicz
      Pages 99-132 Open Access
    6. Magdalena Kacprzak, Bartłomiej Starosta
      Pages 133-154 Open Access
  4. Examples of Applications

    1. Front Matter
      Pages 155-155
    2. Anna Chwastyk, Iwona Pisz
      Pages 157-169 Open Access
    3. Dariusz Kacprzak
      Pages 171-182 Open Access
    4. Adam Marszałek, Tadeusz Burczyński
      Pages 183-194 Open Access
    5. Hubert Zarzycki, Jacek M. Czerniak, Wojciech T. Dobrosielski
      Pages 195-205 Open Access
    6. Jacek M. Czerniak
      Pages 207-222 Open Access
    7. Dawid Ewald, Jacek M. Czerniak, Marcin Paprzycki
      Pages 223-237 Open Access
    8. Łukasz Apiecionek
      Pages 239-252 Open Access
    9. Łukasz Apiecionek
      Pages 253-268 Open Access
    10. Wojciech T. Dobrosielski, Jacek M. Czerniak, Hubert Zarzycki, Janusz Szczepański
      Pages 269-288 Open Access
    11. Piotr Prokopowicz, Emilia Mikołajewska, Dariusz Mikołajewski, Piotr Kotlarz
      Pages 289-302 Open Access
    12. Piotr Prokopowicz, Dariusz Mikołajewski
      Pages 303-322 Open Access

About this book

Introduction

This book is open access under a CC BY 4.0 license.

This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications. The respective chapters, written by leading researchers, discuss the main techniques and applications, together with the advantages and shortcomings of these tools in comparison to other fuzzy number representation models. Primarily intended for engineers and researchers in the field of fuzzy arithmetic, the book also offers a valuable source of basic information on fuzzy models and an easy-to-understand reference guide to their applications for advanced undergraduate students, operations researchers, modelers and managers alike.

Keywords

Fuzzy Numbers with Direction Fuzzy Arithmetic Defuzzyfication Fuzzy Controllers OFN Controllers Fuzzy Prediction Models Fuzzy Number Models Trend Analysis Trend processing Uncertainty modeling Propagation of uncertainty Comparison of fuzzy models Kosinski’s fuzzy numbers Open Access

Editors and affiliations

  • Piotr Prokopowicz
    • 1
  • Jacek Czerniak
    • 2
  • Dariusz Mikołajewski
    • 3
  • Łukasz Apiecionek
    • 4
  • Dominik Ślȩzak
    • 5
  1. 1.Faculty of Mathematics, Physics and Technical Science, Institute of Mechanics and Applied Computer ScienceKazimierz Wielki UniversityBydgoszczPoland
  2. 2.Faculty of Mathematics, Physics and Technical Science, Institute of TechnologyKazimierz Wielki UniversityBydgoszczPoland
  3. 3.Faculty of Mathematics, Physics and Technical Science, Institute of Mechanics and Applied Computer ScienceKazimierz Wielki UniversityBydgoszczPoland
  4. 4.Faculty of Mathematics, Physics and Technical Science, Institute of TechnologyKazimierz Wielki UniversityBydgoszczPoland
  5. 5.Faculty of Mathematics, Informatics and MechanicsUniversity of WarsawWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-59614-3
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2017
  • License CC BY
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-59613-6
  • Online ISBN 978-3-319-59614-3
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site