TY - JOUR
T1 - Statistical Hypothesis Test in Three Factor ANOVA Model under Fuzzy Environments Using Trapezoidal Fuzzy Numbers
AU - Parthiban, Selvam
AU - Gajivaradhan, P.
JF - Bulletin of Mathematical Sciences and Applications
VL - 14
SP - 23
EP - 42
SN - 2278-9634
PY - 2016
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/BMSA.14.23
UR - https://www.scipress.com/BMSA.14.23
KW - Alpha Cut
KW - Graded Mean Integration Representation
KW - LSD
KW - Membership Function
KW - Ranking Function
KW - Total Integral Value
KW - Trapezoidal Fuzzy Numbers
AB - 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.
ER -