A Method for Aggregating Linguistic Preference Relations Based on IOWA

摘要

IOWA operator, which is proposed by Yager, et al, has been used in many fields. In the paper, we deal with group linguistic assessments decision-making problems based on IOWA. Firstly, in the homogeneous, the higher the consistence degree of experts is, the higher the weights of linguistic as-sessments is, thus we explain the order inducing value of IOWA operator as numbers of the experts who assign the same linguistic assessment; In the heterogeneous, the bigger the importance degree of exports is, the higher the weights of linguistic as-sessments is, thus we explain the order inducing value of IOWA operator as sum of importance de-grees of all experts who assign the same linguistic assessment. Secondly, we use the order inducing values to compute the weights of IOWA operator.Thirdly, we use IOWA operator to aggregate group linguistic preference relations, and utilize linguis-tic length to dispose 'ties' among linguistic assess-ments.Finally, we introduce a process of aggrega-tion and give an example.