Two-Way ANOVA for Fuzzy Observations and an Implication

Abstract

Analysis of variance (ANOVA) is an effective and powerful method among studies investigating how the continuous dependent variable is affected by categorical independent variables by measurement. It is difficult to talk about the precision of measurements in real life problems. For this reason, many statistical methods have been extended to fuzzy numbers. The most commonly used ANOVA method is one-way-ANOVA, and there are methods developed for fuzzy one-way-ANOVA in the literature. In this study, the theoretical structure of the two-way-ANOVA method is constructed for the first time using non-symmetric triangular fuzzy numbers and its analysis is performed on a sample. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.