Abstract:

In the face of some complex multiple attribute group decision-making problems， the type of information with regard to multiple attributes is inconsistent， and the number of decision makers is or exceeds 20. In such situations， a new hybrid multiple attribute large group decision-making problem occurs. The hybrid multiple attribute large group decision-making problem can be seen everywhere in real life， and it has attracted much attention from domestic and overseas experts over the last years. However， so far hybrid multiple attribute large group decision-making methods are rare. In order to overcome this kind of deficiency， a novel hybrid multiple attribute large group decision-making approach is proposed based on three-dimensional two-tuple linguistic density operator and two-tuple linguistic power Bonferroni operator. First， 4 different conversion functions are designed to transform the hybrid information of decision-makers that contains precise numbers， interval numbers， linguistic variables， and uncertain linguistic variables into two-tuple linguistic information. Then， the three-dimensional two-tuple linguistic density operator is defined to aggregate the multiple attribute decision-making matrices of decision-makers with two-tuple linguistic information. Finally， the two-tuple linguistic power Bonferroni operator is investigated to aggregate to the collective multiple attribute decision-making matrix with two-tuple linguistic information. A numerical example concerning the selection of ERP softwares is provided to illustrate the validity and rationality of the proposed approach. The research shows that not only can the proposed approach solve the problem of handling the hybrid information and consider large group consensus， but the proposed approach can also reflect the correlation relationships among attributes and alleviate the adverse influences of the abnormal attribute values.

Key words: multiple attribute decision-making, large group, hybrid, three-dimensional two-tuple linguistic density operator, two-tuple linguistic power Bonferroni operator