Study on the Grey Social Welfare Function
Based on the interval grey numbers, the grey social welfare function (GSWF) is proposed in a group decision-making environment in this article, we proved that the GSWF satisfies unrestricted domain, Pareto principle, independence of irrelevant alternatives and has no dictator of Arrows Impossibility Theorem for binary social choice rule, so the GSWF is reasonable and fair. Application of the new preference representation to a singing competition demonstrates that the GSWF is fair and practicable.
Wu Lifeng Wang Yinao
College of Mathematics and Information Science,Wenzhou University, Wenzhou, 325035, Zhejiang Province, China
国际会议
2009 IEEE International Conference on Grey System and Intelligent Services(2009 IEEE灰色系统与服务科学国际会议)
南京
英文
1038-1041
2009-10-20(万方平台首次上网日期,不代表论文的发表时间)