A STATISTICAL ANALYSIS OF VARIANCE FOR ONEWAY CLASSIFICATION USING TRAPEZOIDAL FUZZY TECHNIQUES AND RANKING METHODS

The Analysis of Variance (ANOVA) is a powerful tool for testing significance, with its primary purpose being to assess the homogeneity of several means. Variation is inherent in nature. The total variation in any set of numerical data arises from multiple causes, which are classified as assignable and chance causes. The variation due to assignable causes can be detected and measured, whereas variation due to chance is beyond human control. An ambiguous number is a normal number whose exact value is uncertain. Fuzziness occurs when the boundaries of information are unclear or imprecise. Sometimes, observational data may not be recorded, particularly during natural disasters. This paper presents a statistical analysis of variance for one-way classification using trapezoidal fuzzy techniques and the ranking method, demonstrated through a numerical example.