ISSN 2167-0439
International Journal of Management and Business Studies ISSN 2167-0439 Vol. 7 (8), pp. 001-008, August, 2017. © International Scholars Journals
Full Length Research Paper
The multi-attribute group decision making method based on the interval grey linguistic variables
Fang Jin and Peide Liu*
Information Management School, Shandong Economic University, Jinan 250014, China.
Accepted 10 April, 2017
Abstract
The extended TOPSIS method is proposed to solve multi-attribute group decision-making problems which the attribute values take the form of interval grey linguistic variables and attribute weight is unknown. To begin with, the relative concepts of interval grey linguistic variables are defined; the operation rules, the properties, and the distance between the two interval grey linguistic variables are established. Then the evaluation information of each expert is aggregated into the group information by the arithmetic weighted average method, and the mathematical model is constructed to solve the attribute weight based on the rules of the maximum deviation. Furthermore, the ranking order of alternatives is determined by TOPSIS method. Finally, the practical example is given to show the decision-making steps and the effectiveness of this method.
Key words: Grey fuzzy number, interval grey linguistic variables, TOPSIS, multi-attribute group decision making.