In this paper, we have developed the uncertain linguistic hybrid weighted distance (ULHWD) measure. We have proved both the uncertain linguistic weighted distance (ULWD) measure and the uncertain linguistic ordered weighted distance (ULOWD) measure are the special case of the ULHWD measure. The ULHWD measure first weights the given arguments, and then reorders the weighted arguments in descending order and weights these ordered arguments by the ULHWD weights, and finally aggregates all the weighted arguments into a collective one. Obviously, the ULHWD measure generalizes both the ULWD measure and ULOWD measure, and reflects the importance degrees of both the given argument and the ordered position of the argument. Furthermore, the ULHWD measure can relieve the influence of unfair arguments on the decision results by using the ULHWD weights to assign low weights to those “false” or “biased” ones. Finally, based on the ULHWD measure, we have proposed a practical method for evaluating the commercial value evaluation of commercial photography with uncertain linguistic information.
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