Abstract:

Due to the uncertainty of decision making, a linguistic interval 2-tuple representation and a linguistic interval 2-tuple power average (LI2TPA) operator were proposed, and some desired properties of the developed operator were also studied. Because the support measure between two aggregated objects was analyzed in LI2TPA operator, this operator could relieve the influence of unduly high or unduly low evaluation values on the collective linguistic evaluation result. A numerical example showed the effectiveness of the new operator in linguistic decision making.

Key words: multiple criteria decision making, linguistic interval 2-tuple, linguistic interval 2-tuple power average (LI2TPA) operator, support measure