Affiliations: [a]
School of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan, China
| [b]
School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, Henan, China
Correspondence:
[*]
Corresponding author. Hongbin Liu, School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, Henan 450046, China. E-mail: lhbnwpu@hotmail.com.
Abstract: Some risky multi-criteria group decision making problems include payoff and probability information. To deal with these problems, this study introduces a large scale multi-criteria group decision making model based on focus theory of choice. In this model, a group of experts’ linguistic evaluations on multiple criteria are first collected to form linguistic distributions. The positive foci of the linguistic distributions are computed and aggregated into the alternatives’ scores. It is noted that in this process the linguistic terms and probabilities are aggregated by using different rules. The positive foci of the alternatives’ scores are computed and the optimal alternative is selected. A pollution treatment evaluation problem is solved by using the proposed model, and simulation experiments and comparative analysis are given.
Keywords: Focus theory of choice, linguistic distribution, multi-criteria group decision making, positive foci
