A Comparative Study Of One Factor Anova Model Under Fuzzy Environments Using Trapezoidal Fuzzy Numbers

Research Article
Parthiban S and Gajivaradhan P
DOI: 
xxx-xxxxx-xxxx
Subject: 
science
KeyWords: 
Trapezoidal Fuzzy Numbers (tfns./TFNs.), Alpha Cut, ANOVA test, Ranking Function, Total Integral Value (TIV), Graded Mean Integration Representation (GMIR)
Abstract: 

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