An interval-valued fuzzy set approach for evaluating students answer scripts in engineering mathematics 3 : a case study at Kolej Kemahiran Tinggi MARA Balik Pulau

Generally, education institutions must provide students’ evaluation reports regarding their test or examination as sufficient as possible and with the unavoidable error as small as possible. Therefore in this dissertation, the existing method had been used as an alternative method for evaluating students’ answer scripts that is interval-valued fuzzy set based on interval-valued fuzzy grade sheets. The marks for each question have been awarded to the answer in the students’ answer scripts are represented by intervalvalued fuzzy sets by an interval between zero and one. The degree of similarity between an interval-valued fuzzy mark and a standard interval-valued fuzzy set will be calculated by similarity function. An index of optimism, λ will be determined by the evaluator. It is used to indicate the degree of optimism of the evaluator. Then, the grading system based on fuzzy method will be compared with classical evaluation method where the score is given one if it is true and zero marks when it is false. The result of the evaluation between two methods shows that 70 percent of the 20 students increase the marks. Besides that, 3 students increase their grade meanwhile 5 students decrease their grading when using interval-valued fuzzy set method. It has also shown that the range between the highest and the lowest marks for classical evaluation method is 42 and for interval-valued fuzzy set method are 13. This dissertation help examiners graded different assessment score in generating single score or grade and also help them knowing the student's achievement level in the assessed course. This dissertation also showed a good and successful fuzzy set theory application on student grading system. An interval-valued fuzzy set method can evaluate students’ answer scripts in a more flexible and more intelligent manner.