Design Considerations of Time in Fuzzy Systems

  • Jernej Virant

Part of the Applied Optimization book series (APOP, volume 35)

Table of contents

  1. Front Matter
    Pages i-xxxv
  2. The Fundamentals of Fuzzy and Possibilistic Logic

    1. Front Matter
      Pages 1-1
    2. Jernej Virant
      Pages 3-17
    3. Jernej Virant
      Pages 19-45
    4. Jernej Virant
      Pages 47-64
    5. Jernej Virant
      Pages 65-78
    6. Jernej Virant
      Pages 79-97
    7. Jernej Virant
      Pages 99-122
  3. Fuzzy Temporal Logic

    1. Front Matter
      Pages 123-123
    2. Jernej Virant
      Pages 125-166
    3. Jernej Virant
      Pages 167-231
    4. Jernej Virant
      Pages 233-293
    5. Jernej Virant
      Pages 295-322
  4. Fuzzy Sets Computation, Representation and Simulation

    1. Front Matter
      Pages 323-323
    2. Jernej Virant
      Pages 325-350
    3. Jernej Virant
      Pages 351-387
  5. Back Matter
    Pages 389-475

About this book

Introduction

Fuzzy theory is an interesting name for a method that has been highly effective in a wide variety of significant, real-world applications. A few examples make this readily apparent. As the result of a faulty design the method of computer-programmed trading, the biggest stock market crash in history was triggered by a small fraction of a percent change in the interest rate in a Western European country. A fuzzy theory ap­ proach would have weighed a number of relevant variables and the ranges of values for each of these variables. Another example, which is rather simple but pervasive, is that of an electronic thermostat that turns on heat or air conditioning at a specific temperature setting. In fact, actual comfort level involves other variables such as humidity and the location of the sun with respect to windows in a home, among others. Because of its great applied significance, fuzzy theory has generated widespread activity internationally. In fact, institutions devoted to research in this area have come into being. As the above examples suggest, Fuzzy Systems Theory is of fundamen­ tal importance for the analysis and design of a wide variety of dynamic systems. This clearly manifests the fundamental importance of time con­ siderations in the Fuzzy Systems design approach in dynamic systems. This textbook by Prof. Dr. Jernej Virant provides what is evidently a uniquely significant and comprehensive treatment of this subject on the international scene.

Keywords

Calculation function fuzziness fuzzy set fuzzy system mathematics

Authors and affiliations

  • Jernej Virant
    • 1
  1. 1.Faculty of Computer and Information ScienceUniversity of LjubljanaSlovenia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-4673-3
  • Copyright Information Springer-Verlag US 2000
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7115-1
  • Online ISBN 978-1-4615-4673-3
  • Series Print ISSN 1384-6485
  • About this book