Abstract:

The evaluation information types of decision makers are inconsistent in the multiple attribute large-scale group decision making problem. To overcome this kind of defects, a multiple attribute large-scale group decision making method based on hybrid information is proposed. Firstly, several different conversion functions are defined to transform the hybrid evaluation information that contains the precise number, interval number and linguistic information into virtual linguistic terms. Secondly, the proper cluster is made for the large-scale group evaluation matrix, and it is aggregated by the three-dimensional linguistic density operator. Finally, the linguistic power Heronian operator is given to aggregate the group comprehensive evaluation matrix. A numerical example is provided to prove the feasibility and validity of the proposed method. The results show that this method can not only solve the problem of inconsistent hybrid information and consider the group consensus degree, but also reflect the correlation among attributes and the overall balance of the aggregated value.

Key words: hybrid information, large-scale, multiple attribute group decision making, three-dimensional linguistic density operator, linguistic power Heronian operator