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Design Considerations of Time in Fuzzy Systems

  • Book
  • © 2000

Overview

Authors:
  1. Jernej Virant

    1. Faculty of Computer and Information Science, University of Ljubljana, Slovenia

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

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Table of contents (12 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-1
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    2. Fuzziness and Its Measure

      • Jernej Virant
      Pages 3-17

    3. Fuzzy Operations and Relations

      • Jernej Virant
      Pages 19-45

    4. Fuzzy Functions

      • Jernej Virant
      Pages 47-64

    5. Fuzzy Algorithms

      • Jernej Virant
      Pages 65-78

    6. Process of Fuzzy Inference

      • Jernej Virant
      Pages 79-97

    7. Possibilistic Logic

      • Jernej Virant
      Pages 99-122

  3. Fuzzy Temporal Logic

    1. Front Matter

      Pages 123-123
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    2. Temporality of Propositions

      • Jernej Virant
      Pages 125-166

    3. Fuzziness of Time

      • Jernej Virant
      Pages 167-231

    4. Temporality in Fuzzy Inference Machines

      • Jernej Virant
      Pages 233-293

    5. Graphs of Fuzzy Dates

      • Jernej Virant
      Pages 295-322

  4. Fuzzy Sets Computation, Representation and Simulation

    1. Front Matter

      Pages 323-323
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    2. Calculation and Display Errors

      • Jernej Virant
      Pages 325-350

    3. Matlab Simulation of Fuzzy Circuits

      • Jernej Virant
      Pages 351-387

  5. Back Matter

    Pages 389-475
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Keywords

About this book

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.

Authors and Affiliations

  • Faculty of Computer and Information Science, University of Ljubljana, Slovenia

    Jernej Virant

Bibliographic Information

  • Book Title: Design Considerations of Time in Fuzzy Systems

  • Authors: Jernej Virant

  • Series Title: Applied Optimization

  • DOI: https://doi.org/10.1007/978-1-4615-4673-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2000

  • Hardcover ISBN: 978-0-7923-6100-8Published: 30 November 1999

  • Softcover ISBN: 978-1-4613-7115-1Published: 22 November 2013

  • eBook ISBN: 978-1-4615-4673-3Published: 27 November 2013

  • Series ISSN: 1384-6485

  • Edition Number: 1

  • Number of Pages: XXXVI, 475

  • Topics: Mathematics, general, Mathematical Logic and Foundations

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