Two dimension 2-tuple linguistic approach for multi-attribute group decision making method under uncertainty

Abstract

Linguistic terms are more easily represented than crisp, numbers for attribute assessments in multiple attribute group decision making (MAGDM). The two-dimension 2-tuple linguistic (TD2L) label, based on the traditional 2-tuple línguistic representation model, adds another 2-tuple linguistic term can express the reliability degree of the assessments. Considering the uncertainty of the decision making environment, TD2L approach will reduce the uncertainty and improve the reliability of decision making results. First, a novel TD2L computation model is developed from stochastic perspective. Second, the reliability degree of the adjusted assessment is measured during the consensus reaching process (CRP) in MAGDM with T02L information. Then consider the tolerance of decision makers for changing their opinions, a CRP with minimum adjustment is proposed. Finally, some illustrative examples show the proposed methods are effective and reasonable.