Goodman-Kruskal Measure of Association for Fuzzy-Categorized Variables

S. M. Taheri; Gholamreza Hesamian

Kybernetika (2011)

  • Volume: 47, Issue: 1, page 110-122
  • ISSN: 0023-5954

Abstract

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The Goodman-Kruskal measure, which is a well-known measure of dependence for contingency tables, is generalized to the case when the variables of interest are categorized by linguistic terms rather than crisp sets. In addition, to test the hypothesis of independence in such contingency tables, a novel method of decision making is developed based on a concept of fuzzy p -value. The applicability of the proposed approach is explained using a numerical example.

How to cite

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Taheri, S. M., and Hesamian, Gholamreza. "Goodman-Kruskal Measure of Association for Fuzzy-Categorized Variables." Kybernetika 47.1 (2011): 110-122. <http://eudml.org/doc/196869>.

@article{Taheri2011,
abstract = {The Goodman-Kruskal measure, which is a well-known measure of dependence for contingency tables, is generalized to the case when the variables of interest are categorized by linguistic terms rather than crisp sets. In addition, to test the hypothesis of independence in such contingency tables, a novel method of decision making is developed based on a concept of fuzzy $p$-value. The applicability of the proposed approach is explained using a numerical example.},
author = {Taheri, S. M., Hesamian, Gholamreza},
journal = {Kybernetika},
keywords = {fuzzy frequency; fuzzy category; fuzzy Goodman–Kruskal statistic; fuzzy $p$-value; fuzzy significance level; NSD index; fuzzy frequency; fuzzy category; fuzzy Goodman-Kruskal statistics; fuzzy -value; fuzzy significance level; NSD index},
language = {eng},
number = {1},
pages = {110-122},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Goodman-Kruskal Measure of Association for Fuzzy-Categorized Variables},
url = {http://eudml.org/doc/196869},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Taheri, S. M.
AU - Hesamian, Gholamreza
TI - Goodman-Kruskal Measure of Association for Fuzzy-Categorized Variables
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 1
SP - 110
EP - 122
AB - The Goodman-Kruskal measure, which is a well-known measure of dependence for contingency tables, is generalized to the case when the variables of interest are categorized by linguistic terms rather than crisp sets. In addition, to test the hypothesis of independence in such contingency tables, a novel method of decision making is developed based on a concept of fuzzy $p$-value. The applicability of the proposed approach is explained using a numerical example.
LA - eng
KW - fuzzy frequency; fuzzy category; fuzzy Goodman–Kruskal statistic; fuzzy $p$-value; fuzzy significance level; NSD index; fuzzy frequency; fuzzy category; fuzzy Goodman-Kruskal statistics; fuzzy -value; fuzzy significance level; NSD index
UR - http://eudml.org/doc/196869
ER -

References

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