23. Mathematical Concepts

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch23

Book Title

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

Additional Information

How to Cite

Viertl, R. (2011) Mathematical Concepts, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch23

Author Information

  1. Vienna University of Technology, Austria

Publication History

  1. Published Online: 5 JAN 2011
  2. Published Print: 11 FEB 2011

ISBN Information

Print ISBN: 9780470699454

Online ISBN: 9780470974414

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CHAPTER TOOLS

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Keywords:

  • fuzzy time series - mathematical concepts;
  • support functions of fuzzy quantities;
  • support function and support function of fuzzy vector;
  • distances of fuzzy quantities;
  • Hausdorff metric;
  • support function, different characteristics of fuzzy vectors obtained - so-called Steiner point;
  • generalized Hukuhara difference;
  • generalized difference operation - for fuzzy numbers via extension principle, increasing fuzziness;
  • projection theorem - in Hilbert spaces;
  • generalized Hukuhara difference - of two trapezoidal fuzzy numbers

Summary

This chapter contains sections titled:

  • Support functions of fuzzy quantities

  • Distances of fuzzy quantities

  • Generalized Hukuhara difference

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