Volume : II, Issue : XII, December - 2013

ANALYSIS OF VARIANCE FOR CRISP DATA WITH MEMBERSHIP GRADES OF FUZZY SETS

P. Pandian, D. Kalpanapriya

Abstract :

One factor ANOVA technique for crisp data of populations is extended to with membership function of the fuzzy sets over the samples of the populations. The F-test statistic for the testing statistical hypothesis is given on the membership grades of the fuzzy sets. Decision rules for each proposed hypothesis test are provided. In the proposed hypothesis tests, h-level set, cut, fuzzy interval and the degrees of optimism and pessimism are not used. Numerical examples are provided for explaining the procedures of the proposed hypotheses tests. Decision makers may use the proposed one factor ANOVA tests in the real life issues based on the membership grades of fuzzy sets for taking appropriate decisions in a simple and effective manner.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

P. Pandian, D. Kalpanapriya ANALYSIS OF VARIANCE FOR CRISP DATA WITH MEMBERSHIP GRADES OF FUZZY SETS International Journal of Scientific Research, Vol.II, Issue.XII December 2013

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