Trapezoid Fuzzy Linguistic Weighted Geometric Averaging Operator

With respect to multiple attribute decision making (MADM) problems, in which attribute values take the form of trapezoid fuzzy linguistic variables, by utilizing some operational laws of trapezoid fuzzy linguistic variables, a new aggregation operator called trapezoid fuzzy linguistic weighted geometric averaging (TFLWGA) operator is proposed. Moreover, based on TFLWGA operator, a practical method for MAGDM is proposed under fuzzy linguistic environment. The method is straightforward and has no loss of information. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.