Abstract

This paper was provoked by the interest in investigating the dependence of movie sales on the factors of “a day of the week” and the “ticket price”. Analysis of variance (ANOVA) is a statistical method concerned with comparing means of several samples. In the paper, a real data set on daily ticket sales for the Bulgarian premiere movie “Coziness” (2-D, 2019) for a month from a Cinema City Bulgaria multiplex, is analysed using one-way ANOVA. The observations including vagueness can be expressed exactly using intuitionistic fuzzy set (IFS) membership and non-membership functions. In order to analyze such data, it is necessary to apply the proposed in the paper an intuitionistic fuzzy ANOVA (IFANOVA). The proposed approach employs the apparatus of IFSs and index matrices (IMs). The paper also explores an application of IFANOVA to find out the dependencies of the ticket sales for this premiere on a “day of the week” factor. A comparative analysis of the rezults obtained by ANOVA and IFANOVA is performed. The main contribution of the paper is that it shows the effectiveness of the proposed IFANOVA for investigating the effects of factor levels.

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