A Multiple Attribute Decision Making Method Based on Uncertain Linguistic Heronian Mean

Xiaodi Liu, Jianjun Zhu, Guodong Liu, Jingjing Hao
2013 Mathematical Problems in Engineering  
The Heronian mean is a useful aggregation operator which can capture the interrelationship of the input arguments. In this paper, we develop some Heronian means based on uncertain linguistic variables, such as the generalized uncertain linguistic Heronian mean (GULHM) and uncertain linguistic geometric Heronian mean (ULGHM), and some of their desirable properties are also investigated. Considering the different importance of the input arguments, we define the generalized uncertain linguistic
more » ... ghted Heronian mean (GULWHM) and uncertain linguistic weighted geometric Heronian mean (ULWGHM). Then, a method of multiple attribute decision making under uncertain linguistic environment is presented based on the GULWHM or the ULWGHM. In the end, an example is given to demonstrate the effectiveness and feasibility of the proposed method.
doi:10.1155/2013/597671 fatcat:2sp3xzdlwjehddlosx5ifuve4u