Digital Interpretation of Movie Sales Revenue Through Intuitionistic Fuzzy Analysis of Variance

Abstract

The Covid-19 pandemic has accelerated the digital transformation of the industry with the rapid adoption of digital technologies and created a digital economy. As a consequence of digitalization, business intelligent systems have been created that analyze data in order to support management decisions. Analysis of variance (ANOVA) is a basic method in data analysis. The galloping inflation and the pandemic lead to accumulation of unclear data in business. The classical methods for analysis cannot handle their processing. To solve the problem, we extended ANOVA to the intuitionistic fuzzy IFANOVA so that it can process intuitionistic fuzzy observations rather than clear numbers. The proposed new approach combines the advantages of ANOVA and the concepts of intuitionistic fuzzy logic and index matrices. A software utility for IFANOVA was created in order to digitize the calculations. The paper applies IFANOVA on a unique set of data from a Cinema City Bulgaria multiplex to analyze the dependencies of ticket sales for the premieres of the films “Heights” and “Avengers” by the factor “day of the week”. The proposed IFANOVA can be used to modernize intelligent business systems in uncertainty.