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).
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.