Journal of Systems Engineering and Electronics ›› 2007, Vol. 18 ›› Issue (4): 774-780.

• SYSTEMS ENGINEERING • Previous Articles     Next Articles

Novel combinatorial algorithm for the problems of fuzzy grey multi-attribute group decision making

Rao Congjun1, Xiao Xinping 2 & Peng Jin 1   

  1. 1. Coll. of Mathematics and Information Science, Huanggang Normal Univ., Huanggang 438000, P. R. China;
    2. School of Science, Wuhan Univ. of Technology, Wuhan 430063, P. R. China
  • Online:2007-12-24 Published:2010-01-03

Abstract:

To study the fuzzy and grey information in the problems of multi-attribute group decision making, the basic concepts of both fuzzy grey numbers and grey interval numbers are given firstly, then a new model of fuzzy grey multi-attribute group decision making based on the theories of fuzzy mathematics and grey system is presented. Furthermore, the grey interval relative degree and deviation degree is defined, and both the optimistic algorithm of the grey interval relational degree and the algorithm of deviation degree minimization for solving this new model are also given. Finally, a decision making example to demonstrate the feasibility and rationality of this new method is given, and the results by using these two algorithms are uniform.