Multiple Attribute Decision Making Method Based on the Trapezoid Fuzzy Linguistic Hybrid Harmonic Averaging Operator

Abstract

... the TFLHHA operator, multiple attribute decision A new method is proposed to solve the multiple attribute decision making (MADM) problems with the trapezoid fuzzy linguistic variables ( TFL Vs) based on the trapezoid fuzzy linguistic hybrid harmonic averaging (TFLHHA) operator. To begin with, this paper reviews the concept and operational rules of the TFL Vs, the calculation method of the possibility degree with TFL Vs, and the comparison method of TFL Vs. Then, some operators are proposed, in order to aggregate the TFL Vs, such as the trapezoid fuzzy linguistic weighted harmonic averaging (TFLWHA) operator, the trapezoid fuzzy linguistic ordered weighted harmonic averaging ( TFLOWHA) operator, and the trapezoid fuzzy linguistic hybrid harmonic averaging ( TFLHHA) operator. Furthermore, based on the TFLHHA operator, a new method solving the MADM problems with the TFL Vs is proposed. Finally, an illustrative example is given to show the decision making steps, and it verifies the effectiveness of the developed method.