Multiple stage optimization driven group decision making method with interval linguistic fuzzy preference relations based on ordinal consistency and DEA cross-efficiency

Interval linguistic term (ILT) is highly useful to express decision-makers’ (DMs’) uncertain preferences in the decision-making process. This paper proposes a new group (GDM) method with interval fuzzy preference relations (ILFPRs) by integrating ordinal consistency improvement algorithm, cooperative game, Data Envelopment Analysis (DEA) cross-efficiency model, and stochastic simulation. Firstly, of ILFPR developed. For improving an ILFPR, two-stage integer optimization model presented derive consistency. Then, weight-determination for obtaining DMs’ weights based on games. Moreover, DEA obtain priorities relation derived from ILFPR. Meanwhile, expected ranking vector obtained analysis Monte Carlo Finally, numerical example emergency logistics selection illustrates applicability credibility proposed method.