Dynamic Uncertain Linguistic Weighted Geometric Mean Operator

With respect to multiple periods multiple attribute decision making problems with uncertain multiplicative linguistic preference relations. Definition and some operational laws of uncertain linguistic variables are introduced, and two new operators called dynamic uncertain linguistic geometric mean (DULGM) operator and dynamic uncertain linguistic weighted geometric mean (DULWGM) operator are presented. A model based on DULWGM and DULGM operators is developed to solve the multiple periods multiple attribute decision making problems which the attribute values takes the form of uncertain multiplicative linguistic preference relations collected in different periods. Then the DULWGM and DULGM operators are utilized to aggregate the overall uncertain multiplicative linguistic preference corresponding to each alternative, and then rank the alternatives and select the most desirable one(s). Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.