# Fuzzy System for the Quality Assessment of Educational Multimedia Edition Design
## 1 Introduction
When it is impossible to represent the characteristics of technological processes in a numerical format, they should be replaced with a fuzzy description that accounts for the significance of their values within the overall set. The mathematical interpretation of membership functions enables the formation of term-sets. Enhancing the model's adequacy through fuzzification serves as the foundation for modeling the predictive assessment of multimedia design quality. The inverse of this process is defuzzification [23; 24]. To obtain a high level of quality in the process of producing editions, it is necessary to ensure a meaningful, consistent and orderly implementation of production procedures. This approach contributes to the production of rational management decisions during the implementation of all stages and provides direct performers with a solid theoretical and applied base, which will serve as a kind of reference not only for the implementation of technical operations, but also for a creative component. In view of the above, the purpose of this study is to develop a methodology for assessing the quality of the educational multimedia editions based on the analysis of key factors. Thus, the main objectives of this study are to develop a multilevel model of fuzzy logical inference for the formation of an integral quality indicator of educational multimedia editions; to construct membership functions of linguistic variables and to calculate their values using fuzzy logic equations; to determine the integral quality indicators of the studied process by defuzzication of fuzzy sets according to the center of gravity principle; to develop a fuzzy system for predictive quality assessment of multimedia editions. The quality of multimedia design significantly affects the efficiency of the educational process. Taking into account the relevance of the quality assessment of educational multimedia editions, the use of fuzzy logic allows one to obtain more accurate results of assessing the quality of multimedia editions compared to traditional methods. Summarizing the above, the main research hypotheses for the development of a fuzzy system for predictive quality assessment of multimedia editions include the following: there is a universal term-set that describes the quality of educational multimedia editions, as well as the terms corresponding to it; the quality of multimedia editions can be determined using a multi-level logical inference model, the highest-level component of which determines the output predicted quality indicator of educational multimedia editions in the form of a fuzzy set; the knowledge about the quality of multimedia editions can be formalized in the form of fuzzy logical statements; fuzzification and defuzzification of a fuzzy set allow obtaining the quality assessment of a multimedia edition in a form convenient for practical use. The main contributions of the authors in this study:  
* The authors have formed term-sets of linguistic variable values and developed a multilevel model of fuzzy logical inference for the formation of an integral quality indicator of the educational multimedia edition design. * The authors have performed fuzzification and defuzzification of the fuzzy set and developed a model for predictive quality assessment of the educational multimedia editions. * The authors have developed a fuzzy system that allows determining the predicted quality indicator of the educational multimedia edition design based on the values of the input parameters.