Analysis of Students’ Performance by Fuzzy Inference Technique

Abstract

The performance of a student in a subject includes two main factors: one is performance in a single chapter and other is performance in the remaining chapters. In this article, performance of the class x standard students in mathematics subject in special reference to the chapters of the subject is discussed. As per as the syllabus of NCERT class x mathematics subject, seven branches namely algebra, geometry, trigonometry, mensuration, co-ordinate geometry, probability and statistics are considered in most of the institutions. The potentiality to monitor to develop and progress of students’ performance in a particular subject is a critical issue to the overall academic performance of a student. This study tries to approach this issue by considering the advantage of fuzzy inference technique in order to classify the data obtained from students’ scores. It is very necessary to analyse the above-mentioned two factors for the good performance of each subject and to get good result of the student in any institute. To analyse the performance of individual student, in this paper a methodology to improve the above-mentioned two factors is adopted. The whole data obtained from student’s response test is divided into various ranges through fuzzy logic system. In this papers, fuzzy logic system, rules and membership functions, linguistic variables and the application of performance analysis methodology with the help of fuzzy logic system are included. Two membership functions namely, trapezoidal and triangular membership functions are considered. Fuzzification of input data (students’ scores) by creating a fuzzy inference system (FIS) chapter wise, next each FIS output is passed to another FIS with one output of the final FIS. The performance value is calculated based on the scores of the ‘remaining chapters’ with or without the scores of ‘one chapter’ of the same subject.