Statistical Hypothesis Test in Three Factor ANOVA Model under Fuzzy Environments Using Trapezoidal Fuzzy Numbers

Parthiban, Selvam; Gajivaradhan, P.

doi:10.18052/www.scipress.com/BMSA.14.23

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Statistical Hypothesis Test in Three Factor ANOVA Model under Fuzzy Environments Using Trapezoidal Fuzzy Numbers

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Abstract:

This paper deals with the problem of three factor ANOVA model (Latin Square Design-LSD) test using Trapezoidal Fuzzy Numbers (tfns.). The proposed test is analysed under various types of trapezoidal fuzzy models such as Alpha Cut Interval, Membership Function, Ranking Function, Total Integral Value and Graded Mean Integration Representation. Finally a comparative view of the conclusions obtained from various test is given. Moreover, two numerical examples having different conclusions have been given for a concrete comparative study.

Info:

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 14)

Pages:

23-42

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.14.23

Citation:

S. Parthiban and P. Gajivaradhan, "Statistical Hypothesis Test in Three Factor ANOVA Model under Fuzzy Environments Using Trapezoidal Fuzzy Numbers", Bulletin of Mathematical Sciences and Applications, Vol. 14, pp. 23-42, 2016

Online since:

February 2016

Authors:

Selvam Parthiban, P. Gajivaradhan

Keywords:

Alpha Cut, Graded Mean Integration Representation, LSD, Membership Function, Ranking Function, Total Integral Value, Trapezoidal Fuzzy Numbers

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Open Access

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Creative Commons Attribution 4.0 International License

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Cited By:

[1] S. Parthiban, P. Gajivaradhan, "Statistical Hypothesis Test in Three Factor ANOVA Model under Fuzzy Environments Using Trapezoidal Fuzzy Numbers", Bulletin of Mathematical Sciences and Applications, Vol. 14, p. 23, 2016

DOI: https://doi.org/10.18052/www.scipress.com/BMSA.14.23