The Constitutive Error and Optimize Operator Research in the Grey Number’s addition and subtraction Inverse Operation

摘要：

At first, this paper defined the grey number inverse operation, proposed a essential condition about the grey number’s addition and subtraction inverse operation, then discovered the constitutive error in process of the addition and subtraction inverse operation that is the generally result in the addition and subtraction inverse operation enlarges the length tob a. in the top and bottom sector comparing to the exact solution. The author has introduced a kind Optimize Operator (b-a)-2(b-a)(~r)that is based on the standard grey number for eliminating this kind of constitutive error in the inverse operation, which was properly used in three forms of addition and subtraction inverse operation. At last, the author confirmed this method’s feasibility and usability through a classical example.

作者: Zhou Wei Fang Zhigeng Chen Changjun

作者单位: School of Economics & Management,Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China

会议类型: 国际会议

会议名称: 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)

会议地点: 南京

会议语种:英文

页码: 429-433

在线出版日期: 2009-10-20（万方平台首次上网日期，不代表论文的发表时间）