Application of Neutrosophic Sets to Assessment of Student Learning Skills

Abstract

Assessment is a very important component of education, because it helps the instructor to determine student mistakes and to improve student performance by reforming his/her teaching plans. Various assessment methods under fuzzy conditions (with qualitative grades) are presented in this Chapter, developed in earlier author's works. The first method, termed as the Rectangular Fuzzy Assessment Model (RFAM), is based on the Center of Gravity (COG) defuzzification technique. The outcomes of RFAM, which evaluates a group's qualitative performance, are compared to those of the classical calculation of the Grade Point Average(GPA) index. A method using triangular fuzzy numbers as assessment tools is also presented and it is proved to be equivalent with an analogous method using closed real intervals (grey numbers) as tools. These two methods, which are equivalent to each other, evaluate a group's mean performance. Further, a hybrid assessment approach is developed using grey numbers, neutrosophic sets and soft sets as tools, which is applied for assessing student learning skills.