A Hybrid Model for Assessing Student Mathematical Skills
Subject Areas : Transactions on Fuzzy Sets and Systems
Michael Voskoglou
1
(
Department of Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Sciences Institute of Western Greece, Patras, Greece.
)
Keywords: Neutrosophic set (NS), Fuzzy set (FS), Fuzzy logic (FL), Soft set (SS), Grey number (GN), COG defuzzification technique, Rectangular fuzzy assessment model (RFAM), GPA index,
Abstract :
Student assessment is a very important process in education, because it helps the instructor to determine student mistakes and to improve their performance by reforming his/her teaching plans. A hybrid assessment method using qualitative grades for evaluating student mathematical skills is presented in this work. The paper starts with the mathematical background which is necessary for the understanding of its contents. This includes basic information about fuzzy, neutrosophic and soft sets, and about grey numbers. It also includes a description of the use of the center of gravity (COG) defuzzification technique for assessing a student group’s quality performance. The COG technique is compared with the classical method of calculating the GP A index. The hybrid assessment method, which is based on all the previous concepts and processes, is developed next and the article closes with the final conclusion and some recommendations for future research.
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