Testing statistical hypotheses in fuzzy environment.

Przemyslaw Grzegorzewski; Olgierd Hryniewicz

Mathware and Soft Computing (1997)

  • Volume: 4, Issue: 3, page 203-217
  • ISSN: 1134-5632

Abstract

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In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially while dealing with linguistic data or imprecise requirements. To relax this rigidity fuzzy methods are incorporated into statistics. We review hitherto existing achievements in testing statistical hypotheses in fuzzy environment, point out their advantages or disadvantages and practical problems. We propose also a formalization of that decision problem and indicate the directions of further investigations in order to construct a more general theory.

How to cite

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Grzegorzewski, Przemyslaw, and Hryniewicz, Olgierd. "Testing statistical hypotheses in fuzzy environment.." Mathware and Soft Computing 4.3 (1997): 203-217. <http://eudml.org/doc/39109>.

@article{Grzegorzewski1997,
abstract = {In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially while dealing with linguistic data or imprecise requirements. To relax this rigidity fuzzy methods are incorporated into statistics. We review hitherto existing achievements in testing statistical hypotheses in fuzzy environment, point out their advantages or disadvantages and practical problems. We propose also a formalization of that decision problem and indicate the directions of further investigations in order to construct a more general theory.},
author = {Grzegorzewski, Przemyslaw, Hryniewicz, Olgierd},
journal = {Mathware and Soft Computing},
keywords = {Modelos estadísticos; Procesos difusos; Información difusa; Conjuntos difusos; Análisis bayesiano; Ensayo de verificación; Test de hipótesis; fuzzy methods},
language = {eng},
number = {3},
pages = {203-217},
title = {Testing statistical hypotheses in fuzzy environment.},
url = {http://eudml.org/doc/39109},
volume = {4},
year = {1997},
}

TY - JOUR
AU - Grzegorzewski, Przemyslaw
AU - Hryniewicz, Olgierd
TI - Testing statistical hypotheses in fuzzy environment.
JO - Mathware and Soft Computing
PY - 1997
VL - 4
IS - 3
SP - 203
EP - 217
AB - In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially while dealing with linguistic data or imprecise requirements. To relax this rigidity fuzzy methods are incorporated into statistics. We review hitherto existing achievements in testing statistical hypotheses in fuzzy environment, point out their advantages or disadvantages and practical problems. We propose also a formalization of that decision problem and indicate the directions of further investigations in order to construct a more general theory.
LA - eng
KW - Modelos estadísticos; Procesos difusos; Información difusa; Conjuntos difusos; Análisis bayesiano; Ensayo de verificación; Test de hipótesis; fuzzy methods
UR - http://eudml.org/doc/39109
ER -

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