International Journal of
Information and Education Technology

Abstract—In the mathematics model of weighting analysis filed, due to the essential of weighting is quite subjective. Hence, the paper presents an objective weighting decision method, which can reach objective weighting and make the weighting given into an objective state to reduce the subjectively. Firstly, the mathematics model of Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is introduced, and point out the imperfection, which is the subjective of weighting. Secondly, the objective weighting analysis model of globalization grey relational grade (GGRG) in grey system theory is presented to transfer the subjective state into objective state. Thirdly, an example in education is given to verify our new approach. In addition, the article also uses Matlab toolbox to make the calculation procedures more accurately and more quickly. As a result, it is hoped that through this method, the purpose of integrating computer and the rational of weighting can be achieved.

Index Terms—Weighting, TOPSIS, GGRG, Matlab.

Mei-Li You is with the General Education Department, Chienkuo Technology University, Changhua, Taiwan (e-mail: mei@ctu.edu.tw).
Chien-Tung Chin is with the Nan Guo Elementary School, Changhua, Taiwan (e-mail: dong@mail.nges.chc.edu.tw).
Kun-Li Wen is with the Electrical Engineering Department, Chienkuo Technology University, Changhua, Taiwan (e-mail: klw@ctu.edu.tw).

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Cite: Chien-Tung Chen, Mei-Li You, and Kun-Li Wen, "The Weighting Analysis of TOPSIS via Grey System Theory – An Example in School Exam’s Score," International Journal of Information and Education Technology vol. 5, no. 2, pp. 95-99, 2015.