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Goodman-Kruskal measure of association for fuzzy-categorized variables. (English) Zbl 1213.93199
Summary: 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.

93E12 Identification in stochastic control theory
62A86 Fuzzy analysis in statistics
93C42 Fuzzy control/observation systems
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