Multiple Attribute Decision Making Based on Linguistic Generalized Weighted Heronian Mean

In actual multiple attribute decision making, people often use language to evaluate attributes of the object, and sometimes there are associations between attributes. Therefore, study making with as is great theoretical significance practical value. The Heronian mean not only an operator which reflects attributes, but also has excellent properties, including idempotency, monotonicity, boundedness, parameter symmetry, alternate symmetry. this paper, firstly a new linguistic generalized weighted (LGWHM) was provided, its properties limit were studied. Then, three-parameter (TPLGWHM) boundedness proposed. Finally, multi-attribute methods based on given, example analyzed compared other methods.