Ranking Schools' Academic Performance Using a Fuzzy VIKOR

[摘要] Determination rank is structuring alternatives in order of priority. It is based on the criteria determined for each alternative involved. Evaluation criteria are performed and then a composite index composed of each alternative for the purpose of arranging in order of preference alternatives. This practice is known as multiple criteria decision making (MCDM). There are several common approaches to MCDM, one of the practice is known as VIKOR (Multi-criteria Optimization and Compromise Solution). The objective of this study is to develop a rational method for school ranking based on linguistic information of a criterion. The school represents an alternative, while the results for a number of subjects as the criterion. The results of the examination for a course, is given according to the student percentage of each grade. Five grades of excellence, honours, average, pass and fail is used to indicate a level of achievement in linguistics. Linguistic variables are transformed to fuzzy numbers to form a composite index of school performance. Results showed that fuzzy set theory can solve the limitations of using MCDM when there is uncertainty problems exist in the data.

[发布机构] Faculty of Computing and Informatics, Universiti Malaysia Sabah, Labuan International Campus, Jalan Sg. Pagar, Wilayah Persekutuan Labuan; 87000, Malaysia^1;School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor Darul Ehsan; 43600, Malaysia^2

[效力级别] 化学

[关键词] Composite index;Fuzzy numbers;Linguistic information;Multi criteria decision making;Multicriteria optimization;Multiple criteria decision making;Uncertainty problems;VIKOR