Uncertain linguistic harmonic mean operators and their applications to multiple attribute group decision making

In this paper, some uncertain linguistic aggregation operators called uncertain linguistic weighted harmonic mean (ULWHM) operator, uncertain linguistic ordered weighted harmonic mean operator and uncertain linguistic hybrid harmonic mean (ULHHM) operator are proposed. An approach to multiple attribute group decision making (MAGDM) with uncertain linguistic information is developed based on the ULWHM and the ULHHM operators. Finally, a practical application of the developed approach to MAGDM problem with uncertain linguistic information is given.