Simulation of intellectual system for evaluation of multilevel test tasks on the basis of fuzzy logic

Abstract

The article describes the stages of modeling an intelligent system for evaluating multilevel test tasks based on fuzzy logic in the MATLAB application package, namely the Fuzzy Logic Toolbox. The analysis of existing approaches to fuzzy assessment of test methods, their advantages and disadvantages is given. The considered methods for assessing students are presented in the general case by two methods: using fuzzy sets and corresponding membership functions; fuzzy estimation method and generalized fuzzy estimation method. In the present work, the Sugeno production model is used as the closest to the natural language. This closeness allows for closer interaction with a subject area expert and build well-understood, easily interpreted inference systems. The structure of a fuzzy system, functions and mechanisms of model building are described. The system is presented in the form of a block diagram of fuzzy logical nodes and consists of four input variables, corresponding to the levels of knowledge assimilation and one initial one. The surface of the response of a fuzzy system reflects the dependence of the final grade on the level of difficulty of the task and the degree of correctness of the task. The structure and functions of the fuzzy system are indicated. The modeled in this way intelligent system for assessing multilevel test tasks based on fuzzy logic makes it possible to take into account the fuzzy characteristics of the test: the level of difficulty of the task, which can be assessed as “easy”, “average", “above average”, “difficult”; the degree of correctness of the task, which can be assessed as “correct”, “partially correct”, “rather correct”, “incorrect”; time allotted for the execution of a test task or test, which can be assessed as “short”, “medium”, “long”, “very long”; the percentage of correctly completed tasks, which can be assessed as “small”, “medium”, “large”, “very large”; the final mark for the test, which can be assessed as “poor”, “satisfactory”, “good”, “excellent”, which are included in the assessment. This approach ensures the maximum consideration of answers to questions of all levels of complexity by formulating a base of inference rules and selection of weighting coefficients when deriving the final estimate. The robustness of the system is achieved by using Gaussian membership functions. The testing of the controller on the test sample brings the functional suitability of the developed model.

1st Symposium on Advances in Educational Technology: Outlook

“…This article highlights further research by the authors, begun in [39,286,287]. Data science is the field of study that involves tools, algorithms, and knowledge of maths and statistics to discover knowledge from the raw data.…”

8th Workshop on Cloud Technologies in Education: Report

“…In order for the learning process to always retain personal value for the learner, it is necessary that his or her motivation be maintained through an awareness of his or her purpose and goals. The article "Computer simulation of processes that influence adolescent learning motivation" [81] by Larysa O. Kondratenko, Hanna T. Samoylenko, Arnold E. Kiv, Anna V. Selivanova (figure 30 The article "Simulation of intellectual system for evaluation of multilevel test tasks on the basis of fuzzy logic" [240] by Ivan M. Tsidylo (figure 31) and Serhiy O. Semerikov and Tetiana I. Gargula and Hanna V. Solonetska and Yaroslav P. Zamora and Andrey V. Pikilnyak highlights further research by the authors, begun in [23, 24, 45, 46, 106, 107, 116-119, 123, 125, 135, 182, 186, 189-191, 215, 216, 226, 233, 234, 238, 239, 277]. This article describes the stages of modeling an intelligent system for evaluating multilevel test tasks based on fuzzy logic in the MATLAB application package, namely the Fuzzy Logic Toolbox.…”

8th Workshop on Cloud Technologies in Education: Report

“…In order for the learning process to always retain personal value for the learner, it is necessary that his or her motivation be maintained through an awareness of his or her purpose and goals. The article "Simulation of intellectual system for evaluation of multilevel test tasks on the basis of fuzzy logic" [242] by Ivan M. Tsidylo (figure 31) and Serhiy O. Semerikov and Tetiana I. Gargula and Hanna V. Solonetska and Yaroslav P. Zamora and Andrey V. Pikilnyak highlights further research by the authors, begun in [243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268]. This article describes the stages of modeling an intelligent system for evaluating multilevel test tasks based on fuzzy logic in the MATLAB application package, namely the Fuzzy Logic Toolbox.…”