[PDF][PDF] One-way ANOVA and least squares method based on fuzzy random variables

A Jiryaei, A Parchami, M Mashinchi - Turkish Journal of Fuzzy …, 2013 - academia.edu
Turkish Journal of Fuzzy Systems, 2013academia.edu
The aim of this paper is to deal with one-way analysis of variance (ANOVA) in fuzzy
environment. The traditional method of ANOVA has been generalized based on fuzzy
random variables instead of real-valued random variables. All random errors and
parameters are considered as triangular or exponential fuzzy numbers. The least squares
method is employed to estimate the fuzzy parameters and a method is discussed to check
the adequacy of the proposed model. Finally, two examples are provided to clarify the …
Abstract
The aim of this paper is to deal with one-way analysis of variance (ANOVA) in fuzzy environment. The traditional method of ANOVA has been generalized based on fuzzy random variables instead of real-valued random variables. All random errors and parameters are considered as triangular or exponential fuzzy numbers. The least squares method is employed to estimate the fuzzy parameters and a method is discussed to check the adequacy of the proposed model. Finally, two examples are provided to clarify the presented discussion in this article.
academia.edu
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