23. Mathematical Concepts

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch23

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

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



  • 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


This chapter contains sections titled:

  • Support functions of fuzzy quantities

  • Distances of fuzzy quantities

  • Generalized Hukuhara difference